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Finding the Fourth Proportional to 98,094.72, 147,012.80 and 38,898.08

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Solution

The fourth proportional to 98,094.72, 147,012.80 and 38,898.08 is: 58,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,094.72 : 147,012.80 = 38,898.08 : x
  2. Step 2: Convert to fraction form
    98,094.72/147,012.80 = 38,898.08/x
  3. Step 3: Cross multiply
    98,094.72x = 147,012.80 × 38,898.08
  4. Step 4: Simplify right side
    98,094.72x = 5,718,515,655.42
  5. Step 5: Solve for x
    x = 5,718,515,655.42/98,094.72
  6. Step 6: Final answer
    x = 58,295.86

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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.