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Finding the Fourth Proportional to 98,594.24, 147,749.88 and 42,419.12

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Solution

The fourth proportional to 98,594.24, 147,749.88 and 42,419.12 is: 63,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,594.24 : 147,749.88 = 42,419.12 : x
  2. Step 2: Convert to fraction form
    98,594.24/147,749.88 = 42,419.12/x
  3. Step 3: Cross multiply
    98,594.24x = 147,749.88 × 42,419.12
  4. Step 4: Simplify right side
    98,594.24x = 6,267,419,889.71
  5. Step 5: Solve for x
    x = 6,267,419,889.71/98,594.24
  6. Step 6: Final answer
    x = 63,567.81

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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.