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Finding the Fourth Proportional to 97,661.92, 146,498.60 and 37,690.71

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Solution

The fourth proportional to 97,661.92, 146,498.60 and 37,690.71 is: 56,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,661.92 : 146,498.60 = 37,690.71 : x
  2. Step 2: Convert to fraction form
    97,661.92/146,498.60 = 37,690.71/x
  3. Step 3: Cross multiply
    97,661.92x = 146,498.60 × 37,690.71
  4. Step 4: Simplify right side
    97,661.92x = 5,521,636,248.01
  5. Step 5: Solve for x
    x = 5,521,636,248.01/97,661.92
  6. Step 6: Final answer
    x = 56,538.27

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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.