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Finding the Fourth Proportional to 58,752.94, 81,079.16 and 31,895.47

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Solution

The fourth proportional to 58,752.94, 81,079.16 and 31,895.47 is: 44,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,752.94 : 81,079.16 = 31,895.47 : x
  2. Step 2: Convert to fraction form
    58,752.94/81,079.16 = 31,895.47/x
  3. Step 3: Cross multiply
    58,752.94x = 81,079.16 × 31,895.47
  4. Step 4: Simplify right side
    58,752.94x = 2,586,057,915.41
  5. Step 5: Solve for x
    x = 2,586,057,915.41/58,752.94
  6. Step 6: Final answer
    x = 44,015.80

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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.