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Finding the Fourth Proportional to 31,707.59, 47,524.32 and 15,904.08

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Solution

The fourth proportional to 31,707.59, 47,524.32 and 15,904.08 is: 23,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707.59 : 47,524.32 = 15,904.08 : x
  2. Step 2: Convert to fraction form
    31,707.59/47,524.32 = 15,904.08/x
  3. Step 3: Cross multiply
    31,707.59x = 47,524.32 × 15,904.08
  4. Step 4: Simplify right side
    31,707.59x = 755,830,587.23
  5. Step 5: Solve for x
    x = 755,830,587.23/31,707.59
  6. Step 6: Final answer
    x = 23,837.53

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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.