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Finding the Fourth Proportional to 102,587.88, 153,897.18 and 32,443.88

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Solution

The fourth proportional to 102,587.88, 153,897.18 and 32,443.88 is: 48,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,587.88 : 153,897.18 = 32,443.88 : x
  2. Step 2: Convert to fraction form
    102,587.88/153,897.18 = 32,443.88/x
  3. Step 3: Cross multiply
    102,587.88x = 153,897.18 × 32,443.88
  4. Step 4: Simplify right side
    102,587.88x = 4,993,021,640.26
  5. Step 5: Solve for x
    x = 4,993,021,640.26/102,587.88
  6. Step 6: Final answer
    x = 48,670.68

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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.