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Finding the Fourth Proportional to 31,430.68, 47,139.38 and 9,238.02

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Solution

The fourth proportional to 31,430.68, 47,139.38 and 9,238.02 is: 13,855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430.68 : 47,139.38 = 9,238.02 : x
  2. Step 2: Convert to fraction form
    31,430.68/47,139.38 = 9,238.02/x
  3. Step 3: Cross multiply
    31,430.68x = 47,139.38 × 9,238.02
  4. Step 4: Simplify right side
    31,430.68x = 435,474,535.23
  5. Step 5: Solve for x
    x = 435,474,535.23/31,430.68
  6. Step 6: Final answer
    x = 13,855.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.