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Finding the Fourth Proportional to 81,442.50, 112,389.24 and 45,632.40

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Solution

The fourth proportional to 81,442.50, 112,389.24 and 45,632.40 is: 62,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,442.50 : 112,389.24 = 45,632.40 : x
  2. Step 2: Convert to fraction form
    81,442.50/112,389.24 = 45,632.40/x
  3. Step 3: Cross multiply
    81,442.50x = 112,389.24 × 45,632.40
  4. Step 4: Simplify right side
    81,442.50x = 5,128,590,755.38
  5. Step 5: Solve for x
    x = 5,128,590,755.38/81,442.50
  6. Step 6: Final answer
    x = 62,971.92

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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.