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Finding the Fourth Proportional to 81,409.52, 112,346.31 and 47,417.13

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Solution

The fourth proportional to 81,409.52, 112,346.31 and 47,417.13 is: 65,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.52 : 112,346.31 = 47,417.13 : x
  2. Step 2: Convert to fraction form
    81,409.52/112,346.31 = 47,417.13/x
  3. Step 3: Cross multiply
    81,409.52x = 112,346.31 × 47,417.13
  4. Step 4: Simplify right side
    81,409.52x = 5,327,139,497.38
  5. Step 5: Solve for x
    x = 5,327,139,497.38/81,409.52
  6. Step 6: Final answer
    x = 65,436.32

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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.