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Finding the Fourth Proportional to 30,715.95, 46,073.90 and 8,529.32

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Solution

The fourth proportional to 30,715.95, 46,073.90 and 8,529.32 is: 12,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.95 : 46,073.90 = 8,529.32 : x
  2. Step 2: Convert to fraction form
    30,715.95/46,073.90 = 8,529.32/x
  3. Step 3: Cross multiply
    30,715.95x = 46,073.90 × 8,529.32
  4. Step 4: Simplify right side
    30,715.95x = 392,979,036.75
  5. Step 5: Solve for x
    x = 392,979,036.75/30,715.95
  6. Step 6: Final answer
    x = 12,793.97

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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.