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Finding the Fourth Proportional to 98,535.28, 147,824.79 and 28,409.14

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Solution

The fourth proportional to 98,535.28, 147,824.79 and 28,409.14 is: 42,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,535.28 : 147,824.79 = 28,409.14 : x
  2. Step 2: Convert to fraction form
    98,535.28/147,824.79 = 28,409.14/x
  3. Step 3: Cross multiply
    98,535.28x = 147,824.79 × 28,409.14
  4. Step 4: Simplify right side
    98,535.28x = 4,199,575,154.58
  5. Step 5: Solve for x
    x = 4,199,575,154.58/98,535.28
  6. Step 6: Final answer
    x = 42,620.02

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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.