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Finding the Fourth Proportional to 98,823.68, 136,375.70 and 53,500.47

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Solution

The fourth proportional to 98,823.68, 136,375.70 and 53,500.47 is: 73,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,823.68 : 136,375.70 = 53,500.47 : x
  2. Step 2: Convert to fraction form
    98,823.68/136,375.70 = 53,500.47/x
  3. Step 3: Cross multiply
    98,823.68x = 136,375.70 × 53,500.47
  4. Step 4: Simplify right side
    98,823.68x = 7,296,164,046.58
  5. Step 5: Solve for x
    x = 7,296,164,046.58/98,823.68
  6. Step 6: Final answer
    x = 73,830.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.