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Finding the Fourth Proportional to 98,113.68, 147,040.92 and 35,724.24

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Solution

The fourth proportional to 98,113.68, 147,040.92 and 35,724.24 is: 53,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,113.68 : 147,040.92 = 35,724.24 : x
  2. Step 2: Convert to fraction form
    98,113.68/147,040.92 = 35,724.24/x
  3. Step 3: Cross multiply
    98,113.68x = 147,040.92 × 35,724.24
  4. Step 4: Simplify right side
    98,113.68x = 5,252,925,115.90
  5. Step 5: Solve for x
    x = 5,252,925,115.90/98,113.68
  6. Step 6: Final answer
    x = 53,539.17

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1.5x scale

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.