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Finding the Fourth Proportional to 98,911.76, 148,365.52 and 24,032.30

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Solution

The fourth proportional to 98,911.76, 148,365.52 and 24,032.30 is: 36,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,911.76 : 148,365.52 = 24,032.30 : x
  2. Step 2: Convert to fraction form
    98,911.76/148,365.52 = 24,032.30/x
  3. Step 3: Cross multiply
    98,911.76x = 148,365.52 × 24,032.30
  4. Step 4: Simplify right side
    98,911.76x = 3,565,564,997.13
  5. Step 5: Solve for x
    x = 3,565,564,997.13/98,911.76
  6. Step 6: Final answer
    x = 36,047.94

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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.