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Finding the Fourth Proportional to 45,113.48, 62,252.31 and 30,548

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Solution

The fourth proportional to 45,113.48, 62,252.31 and 30,548 is: 42,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,113.48 : 62,252.31 = 30,548 : x
  2. Step 2: Convert to fraction form
    45,113.48/62,252.31 = 30,548/x
  3. Step 3: Cross multiply
    45,113.48x = 62,252.31 × 30,548
  4. Step 4: Simplify right side
    45,113.48x = 1,901,683,565.88
  5. Step 5: Solve for x
    x = 1,901,683,565.88/45,113.48
  6. Step 6: Final answer
    x = 42,153.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.