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Finding the Fourth Proportional to 31,580.66, 47,368.96 and 11,857.52

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Solution

The fourth proportional to 31,580.66, 47,368.96 and 11,857.52 is: 17,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.66 : 47,368.96 = 11,857.52 : x
  2. Step 2: Convert to fraction form
    31,580.66/47,368.96 = 11,857.52/x
  3. Step 3: Cross multiply
    31,580.66x = 47,368.96 × 11,857.52
  4. Step 4: Simplify right side
    31,580.66x = 561,678,390.58
  5. Step 5: Solve for x
    x = 561,678,390.58/31,580.66
  6. Step 6: Final answer
    x = 17,785.52

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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.