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Finding the Fourth Proportional to 101,538.88, 152,318.52 and 34,970.24

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Solution

The fourth proportional to 101,538.88, 152,318.52 and 34,970.24 is: 52,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538.88 : 152,318.52 = 34,970.24 : x
  2. Step 2: Convert to fraction form
    101,538.88/152,318.52 = 34,970.24/x
  3. Step 3: Cross multiply
    101,538.88x = 152,318.52 × 34,970.24
  4. Step 4: Simplify right side
    101,538.88x = 5,326,615,200.84
  5. Step 5: Solve for x
    x = 5,326,615,200.84/101,538.88
  6. Step 6: Final answer
    x = 52,458.87

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1.5x scale

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.