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Finding the Fourth Proportional to 98,963.86, 148,445.90 and 24,084

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Solution

The fourth proportional to 98,963.86, 148,445.90 and 24,084 is: 36,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,963.86 : 148,445.90 = 24,084 : x
  2. Step 2: Convert to fraction form
    98,963.86/148,445.90 = 24,084/x
  3. Step 3: Cross multiply
    98,963.86x = 148,445.90 × 24,084
  4. Step 4: Simplify right side
    98,963.86x = 3,575,171,055.60
  5. Step 5: Solve for x
    x = 3,575,171,055.60/98,963.86
  6. Step 6: Final answer
    x = 36,126.03

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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.