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Finding the Fourth Proportional to 34,374.40, 51,566.40 and 14,652.80

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Solution

The fourth proportional to 34,374.40, 51,566.40 and 14,652.80 is: 21,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,374.40 : 51,566.40 = 14,652.80 : x
  2. Step 2: Convert to fraction form
    34,374.40/51,566.40 = 14,652.80/x
  3. Step 3: Cross multiply
    34,374.40x = 51,566.40 × 14,652.80
  4. Step 4: Simplify right side
    34,374.40x = 755,592,145.92
  5. Step 5: Solve for x
    x = 755,592,145.92/34,374.40
  6. Step 6: Final answer
    x = 21,981.25

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Why These Related Problems?

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