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Finding the Fourth Proportional to 52,478.46, 78,694.47 and 15,030

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Solution

The fourth proportional to 52,478.46, 78,694.47 and 15,030 is: 22,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,478.46 : 78,694.47 = 15,030 : x
  2. Step 2: Convert to fraction form
    52,478.46/78,694.47 = 15,030/x
  3. Step 3: Cross multiply
    52,478.46x = 78,694.47 × 15,030
  4. Step 4: Simplify right side
    52,478.46x = 1,182,777,884.10
  5. Step 5: Solve for x
    x = 1,182,777,884.10/52,478.46
  6. Step 6: Final answer
    x = 22,538.35

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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.