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Finding the Fourth Proportional to 53,005.70, 73,146.95 and 29,132.38

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Solution

The fourth proportional to 53,005.70, 73,146.95 and 29,132.38 is: 40,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,005.70 : 73,146.95 = 29,132.38 : x
  2. Step 2: Convert to fraction form
    53,005.70/73,146.95 = 29,132.38/x
  3. Step 3: Cross multiply
    53,005.70x = 73,146.95 × 29,132.38
  4. Step 4: Simplify right side
    53,005.70x = 2,130,944,541.10
  5. Step 5: Solve for x
    x = 2,130,944,541.10/53,005.70
  6. Step 6: Final answer
    x = 40,202.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.