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Finding the Fourth Proportional to 31,693.98, 47,587.68 and 17,681.40

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Solution

The fourth proportional to 31,693.98, 47,587.68 and 17,681.40 is: 26,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.98 : 47,587.68 = 17,681.40 : x
  2. Step 2: Convert to fraction form
    31,693.98/47,587.68 = 17,681.40/x
  3. Step 3: Cross multiply
    31,693.98x = 47,587.68 × 17,681.40
  4. Step 4: Simplify right side
    31,693.98x = 841,416,805.15
  5. Step 5: Solve for x
    x = 841,416,805.15/31,693.98
  6. Step 6: Final answer
    x = 26,548.16

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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.