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Finding the Fourth Proportional to 58,752.54, 81,076.16 and 31,894.14

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Solution

The fourth proportional to 58,752.54, 81,076.16 and 31,894.14 is: 44,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,752.54 : 81,076.16 = 31,894.14 : x
  2. Step 2: Convert to fraction form
    58,752.54/81,076.16 = 31,894.14/x
  3. Step 3: Cross multiply
    58,752.54x = 81,076.16 × 31,894.14
  4. Step 4: Simplify right side
    58,752.54x = 2,585,854,397.70
  5. Step 5: Solve for x
    x = 2,585,854,397.70/58,752.54
  6. Step 6: Final answer
    x = 44,012.64

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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.