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Finding the Fourth Proportional to 98,987.95, 148,509.56 and 32,474.86

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Solution

The fourth proportional to 98,987.95, 148,509.56 and 32,474.86 is: 48,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,987.95 : 148,509.56 = 32,474.86 : x
  2. Step 2: Convert to fraction form
    98,987.95/148,509.56 = 32,474.86/x
  3. Step 3: Cross multiply
    98,987.95x = 148,509.56 × 32,474.86
  4. Step 4: Simplify right side
    98,987.95x = 4,822,827,169.66
  5. Step 5: Solve for x
    x = 4,822,827,169.66/98,987.95
  6. Step 6: Final answer
    x = 48,721.36

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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.