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Finding the Fourth Proportional to 53,695.73, 74,098.06 and 29,823.94

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Solution

The fourth proportional to 53,695.73, 74,098.06 and 29,823.94 is: 41,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,695.73 : 74,098.06 = 29,823.94 : x
  2. Step 2: Convert to fraction form
    53,695.73/74,098.06 = 29,823.94/x
  3. Step 3: Cross multiply
    53,695.73x = 74,098.06 × 29,823.94
  4. Step 4: Simplify right side
    53,695.73x = 2,209,896,095.56
  5. Step 5: Solve for x
    x = 2,209,896,095.56/53,695.73
  6. Step 6: Final answer
    x = 41,155.90

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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.