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Finding the Fourth Proportional to 30,475.47, 45,682.04 and 10,478.97

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Solution

The fourth proportional to 30,475.47, 45,682.04 and 10,478.97 is: 15,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.47 : 45,682.04 = 10,478.97 : x
  2. Step 2: Convert to fraction form
    30,475.47/45,682.04 = 10,478.97/x
  3. Step 3: Cross multiply
    30,475.47x = 45,682.04 × 10,478.97
  4. Step 4: Simplify right side
    30,475.47x = 478,700,752.90
  5. Step 5: Solve for x
    x = 478,700,752.90/30,475.47
  6. Step 6: Final answer
    x = 15,707.74

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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.