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Finding the Fourth Proportional to 100,597.29, 150,966.83 and 47,291.70

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Solution

The fourth proportional to 100,597.29, 150,966.83 and 47,291.70 is: 70,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,597.29 : 150,966.83 = 47,291.70 : x
  2. Step 2: Convert to fraction form
    100,597.29/150,966.83 = 47,291.70/x
  3. Step 3: Cross multiply
    100,597.29x = 150,966.83 × 47,291.70
  4. Step 4: Simplify right side
    100,597.29x = 7,139,478,034.31
  5. Step 5: Solve for x
    x = 7,139,478,034.31/100,597.29
  6. Step 6: Final answer
    x = 70,970.88

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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.