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Finding the Fourth Proportional to 30,312.24, 45,475.65 and 9,535.74

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Solution

The fourth proportional to 30,312.24, 45,475.65 and 9,535.74 is: 14,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312.24 : 45,475.65 = 9,535.74 : x
  2. Step 2: Convert to fraction form
    30,312.24/45,475.65 = 9,535.74/x
  3. Step 3: Cross multiply
    30,312.24x = 45,475.65 × 9,535.74
  4. Step 4: Simplify right side
    30,312.24x = 433,643,974.73
  5. Step 5: Solve for x
    x = 433,643,974.73/30,312.24
  6. Step 6: Final answer
    x = 14,305.90

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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.