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Finding the Fourth Proportional to 99,312.30, 148,970.07 and 24,432.66

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Solution

The fourth proportional to 99,312.30, 148,970.07 and 24,432.66 is: 36,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,312.30 : 148,970.07 = 24,432.66 : x
  2. Step 2: Convert to fraction form
    99,312.30/148,970.07 = 24,432.66/x
  3. Step 3: Cross multiply
    99,312.30x = 148,970.07 × 24,432.66
  4. Step 4: Simplify right side
    99,312.30x = 3,639,735,070.49
  5. Step 5: Solve for x
    x = 3,639,735,070.49/99,312.30
  6. Step 6: Final answer
    x = 36,649.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.