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Finding the Fourth Proportional to 65,097.61, 89,830.45 and 36,412.30

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Solution

The fourth proportional to 65,097.61, 89,830.45 and 36,412.30 is: 50,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.61 : 89,830.45 = 36,412.30 : x
  2. Step 2: Convert to fraction form
    65,097.61/89,830.45 = 36,412.30/x
  3. Step 3: Cross multiply
    65,097.61x = 89,830.45 × 36,412.30
  4. Step 4: Simplify right side
    65,097.61x = 3,270,933,294.54
  5. Step 5: Solve for x
    x = 3,270,933,294.54/65,097.61
  6. Step 6: Final answer
    x = 50,246.60

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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.