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Finding the Fourth Proportional to 30,617.16, 45,925.65 and 10,896.48

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Solution

The fourth proportional to 30,617.16, 45,925.65 and 10,896.48 is: 16,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.16 : 45,925.65 = 10,896.48 : x
  2. Step 2: Convert to fraction form
    30,617.16/45,925.65 = 10,896.48/x
  3. Step 3: Cross multiply
    30,617.16x = 45,925.65 × 10,896.48
  4. Step 4: Simplify right side
    30,617.16x = 500,427,926.71
  5. Step 5: Solve for x
    x = 500,427,926.71/30,617.16
  6. Step 6: Final answer
    x = 16,344.69

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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.