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Finding the Fourth Proportional to 102,545.82, 153,810.63 and 32,425.74

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Solution

The fourth proportional to 102,545.82, 153,810.63 and 32,425.74 is: 48,636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,545.82 : 153,810.63 = 32,425.74 : x
  2. Step 2: Convert to fraction form
    102,545.82/153,810.63 = 32,425.74/x
  3. Step 3: Cross multiply
    102,545.82x = 153,810.63 × 32,425.74
  4. Step 4: Simplify right side
    102,545.82x = 4,987,423,497.62
  5. Step 5: Solve for x
    x = 4,987,423,497.62/102,545.82
  6. Step 6: Final answer
    x = 48,636.05

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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.