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Finding the Fourth Proportional to 58,417, 80,615.46 and 31,921

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Solution

The fourth proportional to 58,417, 80,615.46 and 31,921 is: 44,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,417 : 80,615.46 = 31,921 : x
  2. Step 2: Convert to fraction form
    58,417/80,615.46 = 31,921/x
  3. Step 3: Cross multiply
    58,417x = 80,615.46 × 31,921
  4. Step 4: Simplify right side
    58,417x = 2,573,326,098.66
  5. Step 5: Solve for x
    x = 2,573,326,098.66/58,417
  6. Step 6: Final answer
    x = 44,050.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.