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Finding the Fourth Proportional to 98,914.50, 148,371.71 and 24,034.10

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Solution

The fourth proportional to 98,914.50, 148,371.71 and 24,034.10 is: 36,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,914.50 : 148,371.71 = 24,034.10 : x
  2. Step 2: Convert to fraction form
    98,914.50/148,371.71 = 24,034.10/x
  3. Step 3: Cross multiply
    98,914.50x = 148,371.71 × 24,034.10
  4. Step 4: Simplify right side
    98,914.50x = 3,565,979,653.28
  5. Step 5: Solve for x
    x = 3,565,979,653.28/98,914.50
  6. Step 6: Final answer
    x = 36,051.13

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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.