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Finding the Fourth Proportional to 58,752.49, 81,077.96 and 31,894.95

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Solution

The fourth proportional to 58,752.49, 81,077.96 and 31,894.95 is: 44,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,752.49 : 81,077.96 = 31,894.95 : x
  2. Step 2: Convert to fraction form
    58,752.49/81,077.96 = 31,894.95/x
  3. Step 3: Cross multiply
    58,752.49x = 81,077.96 × 31,894.95
  4. Step 4: Simplify right side
    58,752.49x = 2,585,977,480.30
  5. Step 5: Solve for x
    x = 2,585,977,480.30/58,752.49
  6. Step 6: Final answer
    x = 44,014.77

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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.