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Finding the Fourth Proportional to 65,582.84, 90,503.25 and 37,287.92

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Solution

The fourth proportional to 65,582.84, 90,503.25 and 37,287.92 is: 51,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,582.84 : 90,503.25 = 37,287.92 : x
  2. Step 2: Convert to fraction form
    65,582.84/90,503.25 = 37,287.92/x
  3. Step 3: Cross multiply
    65,582.84x = 90,503.25 × 37,287.92
  4. Step 4: Simplify right side
    65,582.84x = 3,374,677,945.74
  5. Step 5: Solve for x
    x = 3,374,677,945.74/65,582.84
  6. Step 6: Final answer
    x = 51,456.72

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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.