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Finding the Fourth Proportional to 98,574.96, 147,967.65 and 42,442.86

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Solution

The fourth proportional to 98,574.96, 147,967.65 and 42,442.86 is: 63,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,574.96 : 147,967.65 = 42,442.86 : x
  2. Step 2: Convert to fraction form
    98,574.96/147,967.65 = 42,442.86/x
  3. Step 3: Cross multiply
    98,574.96x = 147,967.65 × 42,442.86
  4. Step 4: Simplify right side
    98,574.96x = 6,280,170,253.48
  5. Step 5: Solve for x
    x = 6,280,170,253.48/98,574.96
  6. Step 6: Final answer
    x = 63,709.59

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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.