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Finding the Fourth Proportional to 107,957.16, 161,935.49 and 29,071.46

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Solution

The fourth proportional to 107,957.16, 161,935.49 and 29,071.46 is: 43,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,957.16 : 161,935.49 = 29,071.46 : x
  2. Step 2: Convert to fraction form
    107,957.16/161,935.49 = 29,071.46/x
  3. Step 3: Cross multiply
    107,957.16x = 161,935.49 × 29,071.46
  4. Step 4: Simplify right side
    107,957.16x = 4,707,700,165.08
  5. Step 5: Solve for x
    x = 4,707,700,165.08/107,957.16
  6. Step 6: Final answer
    x = 43,607.11

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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.