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Finding the Fourth Proportional to 65,006.60, 97,509.90 and 53,731.40

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Solution

The fourth proportional to 65,006.60, 97,509.90 and 53,731.40 is: 80,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006.60 : 97,509.90 = 53,731.40 : x
  2. Step 2: Convert to fraction form
    65,006.60/97,509.90 = 53,731.40/x
  3. Step 3: Cross multiply
    65,006.60x = 97,509.90 × 53,731.40
  4. Step 4: Simplify right side
    65,006.60x = 5,239,343,440.86
  5. Step 5: Solve for x
    x = 5,239,343,440.86/65,006.60
  6. Step 6: Final answer
    x = 80,597.10

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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.