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Finding the Fourth Proportional to 54,438.84, 75,123.18 and 30,565.08

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Solution

The fourth proportional to 54,438.84, 75,123.18 and 30,565.08 is: 42,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,438.84 : 75,123.18 = 30,565.08 : x
  2. Step 2: Convert to fraction form
    54,438.84/75,123.18 = 30,565.08/x
  3. Step 3: Cross multiply
    54,438.84x = 75,123.18 × 30,565.08
  4. Step 4: Simplify right side
    54,438.84x = 2,296,146,006.55
  5. Step 5: Solve for x
    x = 2,296,146,006.55/54,438.84
  6. Step 6: Final answer
    x = 42,178.45

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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.