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Finding the Fourth Proportional to 98,041.65, 147,043.80 and 38,070.18

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Solution

The fourth proportional to 98,041.65, 147,043.80 and 38,070.18 is: 57,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,041.65 : 147,043.80 = 38,070.18 : x
  2. Step 2: Convert to fraction form
    98,041.65/147,043.80 = 38,070.18/x
  3. Step 3: Cross multiply
    98,041.65x = 147,043.80 × 38,070.18
  4. Step 4: Simplify right side
    98,041.65x = 5,597,983,933.88
  5. Step 5: Solve for x
    x = 5,597,983,933.88/98,041.65
  6. Step 6: Final answer
    x = 57,098.02

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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.