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Finding the Fourth Proportional to 90,882, 136,335.42 and 31,708.98

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Solution

The fourth proportional to 90,882, 136,335.42 and 31,708.98 is: 47,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,882 : 136,335.42 = 31,708.98 : x
  2. Step 2: Convert to fraction form
    90,882/136,335.42 = 31,708.98/x
  3. Step 3: Cross multiply
    90,882x = 136,335.42 × 31,708.98
  4. Step 4: Simplify right side
    90,882x = 4,323,057,106.07
  5. Step 5: Solve for x
    x = 4,323,057,106.07/90,882
  6. Step 6: Final answer
    x = 47,567.80

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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.