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Finding the Fourth Proportional to 98,959.66, 148,437.32 and 24,080.30

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Solution

The fourth proportional to 98,959.66, 148,437.32 and 24,080.30 is: 36,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,959.66 : 148,437.32 = 24,080.30 : x
  2. Step 2: Convert to fraction form
    98,959.66/148,437.32 = 24,080.30/x
  3. Step 3: Cross multiply
    98,959.66x = 148,437.32 × 24,080.30
  4. Step 4: Simplify right side
    98,959.66x = 3,574,415,196.80
  5. Step 5: Solve for x
    x = 3,574,415,196.80/98,959.66
  6. Step 6: Final answer
    x = 36,119.92

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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.