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Finding the Fourth Proportional to 98,382.50, 147,598.66 and 28,261.82

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Solution

The fourth proportional to 98,382.50, 147,598.66 and 28,261.82 is: 42,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382.50 : 147,598.66 = 28,261.82 : x
  2. Step 2: Convert to fraction form
    98,382.50/147,598.66 = 28,261.82/x
  3. Step 3: Cross multiply
    98,382.50x = 147,598.66 × 28,261.82
  4. Step 4: Simplify right side
    98,382.50x = 4,171,406,023.17
  5. Step 5: Solve for x
    x = 4,171,406,023.17/98,382.50
  6. Step 6: Final answer
    x = 42,399.88

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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.