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Finding the Fourth Proportional to 101,877.48, 152,823.24 and 42,653.52

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Solution

The fourth proportional to 101,877.48, 152,823.24 and 42,653.52 is: 63,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,877.48 : 152,823.24 = 42,653.52 : x
  2. Step 2: Convert to fraction form
    101,877.48/152,823.24 = 42,653.52/x
  3. Step 3: Cross multiply
    101,877.48x = 152,823.24 × 42,653.52
  4. Step 4: Simplify right side
    101,877.48x = 6,518,449,123.80
  5. Step 5: Solve for x
    x = 6,518,449,123.80/101,877.48
  6. Step 6: Final answer
    x = 63,983.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.