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Finding the Fourth Proportional to 32,408,002.40, 48,605,782.80 and 9,689,640.80

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Solution

The fourth proportional to 32,408,002.40, 48,605,782.80 and 9,689,640.80 is: 14,532,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408,002.40 : 48,605,782.80 = 9,689,640.80 : x
  2. Step 2: Convert to fraction form
    32,408,002.40/48,605,782.80 = 9,689,640.80/x
  3. Step 3: Cross multiply
    32,408,002.40x = 48,605,782.80 × 9,689,640.80
  4. Step 4: Simplify right side
    32,408,002.40x = 470,972,576,134,818.25
  5. Step 5: Solve for x
    x = 470,972,576,134,818.25/32,408,002.40
  6. Step 6: Final answer
    x = 14,532,601.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.