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Finding the Fourth Proportional to 32,050.40, 48,047.76 and 15,402.08

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Solution

The fourth proportional to 32,050.40, 48,047.76 and 15,402.08 is: 23,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.40 : 48,047.76 = 15,402.08 : x
  2. Step 2: Convert to fraction form
    32,050.40/48,047.76 = 15,402.08/x
  3. Step 3: Cross multiply
    32,050.40x = 48,047.76 × 15,402.08
  4. Step 4: Simplify right side
    32,050.40x = 740,035,443.34
  5. Step 5: Solve for x
    x = 740,035,443.34/32,050.40
  6. Step 6: Final answer
    x = 23,089.74

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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.