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Finding the Fourth Proportional to 58,384, 80,570.24 and 31,888

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Solution

The fourth proportional to 58,384, 80,570.24 and 31,888 is: 44,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,384 : 80,570.24 = 31,888 : x
  2. Step 2: Convert to fraction form
    58,384/80,570.24 = 31,888/x
  3. Step 3: Cross multiply
    58,384x = 80,570.24 × 31,888
  4. Step 4: Simplify right side
    58,384x = 2,569,223,813.12
  5. Step 5: Solve for x
    x = 2,569,223,813.12/58,384
  6. Step 6: Final answer
    x = 44,005.61

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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.