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Finding the Fourth Proportional to 109,482.68, 164,151.10 and 39,352.88

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Solution

The fourth proportional to 109,482.68, 164,151.10 and 39,352.88 is: 59,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,482.68 : 164,151.10 = 39,352.88 : x
  2. Step 2: Convert to fraction form
    109,482.68/164,151.10 = 39,352.88/x
  3. Step 3: Cross multiply
    109,482.68x = 164,151.10 × 39,352.88
  4. Step 4: Simplify right side
    109,482.68x = 6,459,818,441.79
  5. Step 5: Solve for x
    x = 6,459,818,441.79/109,482.68
  6. Step 6: Final answer
    x = 59,003.11

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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.