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Finding the Fourth Proportional to 54,838.32, 75,678.24 and 30,965.34

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Solution

The fourth proportional to 54,838.32, 75,678.24 and 30,965.34 is: 42,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838.32 : 75,678.24 = 30,965.34 : x
  2. Step 2: Convert to fraction form
    54,838.32/75,678.24 = 30,965.34/x
  3. Step 3: Cross multiply
    54,838.32x = 75,678.24 × 30,965.34
  4. Step 4: Simplify right side
    54,838.32x = 2,343,402,432.20
  5. Step 5: Solve for x
    x = 2,343,402,432.20/54,838.32
  6. Step 6: Final answer
    x = 42,732.94

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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.