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Finding the Fourth Proportional to 58,476.32, 87,588.12 and 30,716

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Solution

The fourth proportional to 58,476.32, 87,588.12 and 30,716 is: 46,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,476.32 : 87,588.12 = 30,716 : x
  2. Step 2: Convert to fraction form
    58,476.32/87,588.12 = 30,716/x
  3. Step 3: Cross multiply
    58,476.32x = 87,588.12 × 30,716
  4. Step 4: Simplify right side
    58,476.32x = 2,690,356,693.92
  5. Step 5: Solve for x
    x = 2,690,356,693.92/58,476.32
  6. Step 6: Final answer
    x = 46,007.63

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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.