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Finding the Fourth Proportional to 64,689.74, 97,034.57 and 29,109.47

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Solution

The fourth proportional to 64,689.74, 97,034.57 and 29,109.47 is: 43,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,689.74 : 97,034.57 = 29,109.47 : x
  2. Step 2: Convert to fraction form
    64,689.74/97,034.57 = 29,109.47/x
  3. Step 3: Cross multiply
    64,689.74x = 97,034.57 × 29,109.47
  4. Step 4: Simplify right side
    64,689.74x = 2,824,624,758.83
  5. Step 5: Solve for x
    x = 2,824,624,758.83/64,689.74
  6. Step 6: Final answer
    x = 43,664.19

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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.