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Finding the Fourth Proportional to 97,244.58, 145,866.90 and 30,689.92

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Solution

The fourth proportional to 97,244.58, 145,866.90 and 30,689.92 is: 46,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,244.58 : 145,866.90 = 30,689.92 : x
  2. Step 2: Convert to fraction form
    97,244.58/145,866.90 = 30,689.92/x
  3. Step 3: Cross multiply
    97,244.58x = 145,866.90 × 30,689.92
  4. Step 4: Simplify right side
    97,244.58x = 4,476,643,702.75
  5. Step 5: Solve for x
    x = 4,476,643,702.75/97,244.58
  6. Step 6: Final answer
    x = 46,034.89

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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.