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Finding the Fourth Proportional to 102,497.94, 153,746.84 and 32,377.25

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Solution

The fourth proportional to 102,497.94, 153,746.84 and 32,377.25 is: 48,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,497.94 : 153,746.84 = 32,377.25 : x
  2. Step 2: Convert to fraction form
    102,497.94/153,746.84 = 32,377.25/x
  3. Step 3: Cross multiply
    102,497.94x = 153,746.84 × 32,377.25
  4. Step 4: Simplify right side
    102,497.94x = 4,977,900,340.70
  5. Step 5: Solve for x
    x = 4,977,900,340.70/102,497.94
  6. Step 6: Final answer
    x = 48,565.86

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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.