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Finding the Fourth Proportional to 31,430.64, 47,138.66 and 9,238.08

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Solution

The fourth proportional to 31,430.64, 47,138.66 and 9,238.08 is: 13,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430.64 : 47,138.66 = 9,238.08 : x
  2. Step 2: Convert to fraction form
    31,430.64/47,138.66 = 9,238.08/x
  3. Step 3: Cross multiply
    31,430.64x = 47,138.66 × 9,238.08
  4. Step 4: Simplify right side
    31,430.64x = 435,470,712.17
  5. Step 5: Solve for x
    x = 435,470,712.17/31,430.64
  6. Step 6: Final answer
    x = 13,854.97

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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.