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Finding the Fourth Proportional to 101,473.10, 152,224.22 and 31,357.88

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Solution

The fourth proportional to 101,473.10, 152,224.22 and 31,357.88 is: 47,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,473.10 : 152,224.22 = 31,357.88 : x
  2. Step 2: Convert to fraction form
    101,473.10/152,224.22 = 31,357.88/x
  3. Step 3: Cross multiply
    101,473.10x = 152,224.22 × 31,357.88
  4. Step 4: Simplify right side
    101,473.10x = 4,773,428,141.13
  5. Step 5: Solve for x
    x = 4,773,428,141.13/101,473.10
  6. Step 6: Final answer
    x = 47,041.32

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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.