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Finding the Fourth Proportional to 74,099.50, 102,247.76 and 42,266.50

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Solution

The fourth proportional to 74,099.50, 102,247.76 and 42,266.50 is: 58,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,099.50 : 102,247.76 = 42,266.50 : x
  2. Step 2: Convert to fraction form
    74,099.50/102,247.76 = 42,266.50/x
  3. Step 3: Cross multiply
    74,099.50x = 102,247.76 × 42,266.50
  4. Step 4: Simplify right side
    74,099.50x = 4,321,654,948.04
  5. Step 5: Solve for x
    x = 4,321,654,948.04/74,099.50
  6. Step 6: Final answer
    x = 58,322.32

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1.5x scale

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.