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Finding the Fourth Proportional to 88,970.76, 133,508.78 and 32,850

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Solution

The fourth proportional to 88,970.76, 133,508.78 and 32,850 is: 49,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,970.76 : 133,508.78 = 32,850 : x
  2. Step 2: Convert to fraction form
    88,970.76/133,508.78 = 32,850/x
  3. Step 3: Cross multiply
    88,970.76x = 133,508.78 × 32,850
  4. Step 4: Simplify right side
    88,970.76x = 4,385,763,423
  5. Step 5: Solve for x
    x = 4,385,763,423/88,970.76
  6. Step 6: Final answer
    x = 49,294.44

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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.