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Finding the Fourth Proportional to 65,039.04, 97,557.03 and 29,978.69

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Solution

The fourth proportional to 65,039.04, 97,557.03 and 29,978.69 is: 44,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,039.04 : 97,557.03 = 29,978.69 : x
  2. Step 2: Convert to fraction form
    65,039.04/97,557.03 = 29,978.69/x
  3. Step 3: Cross multiply
    65,039.04x = 97,557.03 × 29,978.69
  4. Step 4: Simplify right side
    65,039.04x = 2,924,631,471.91
  5. Step 5: Solve for x
    x = 2,924,631,471.91/65,039.04
  6. Step 6: Final answer
    x = 44,967.32

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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.