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Finding the Fourth Proportional to 102,008.70, 153,037.35 and 49,374.90

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Solution

The fourth proportional to 102,008.70, 153,037.35 and 49,374.90 is: 74,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,008.70 : 153,037.35 = 49,374.90 : x
  2. Step 2: Convert to fraction form
    102,008.70/153,037.35 = 49,374.90/x
  3. Step 3: Cross multiply
    102,008.70x = 153,037.35 × 49,374.90
  4. Step 4: Simplify right side
    102,008.70x = 7,556,203,852.52
  5. Step 5: Solve for x
    x = 7,556,203,852.52/102,008.70
  6. Step 6: Final answer
    x = 74,074.11

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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.