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Finding the Fourth Proportional to 82,374.76, 123,570.78 and 26,975.08

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Solution

The fourth proportional to 82,374.76, 123,570.78 and 26,975.08 is: 40,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,374.76 : 123,570.78 = 26,975.08 : x
  2. Step 2: Convert to fraction form
    82,374.76/123,570.78 = 26,975.08/x
  3. Step 3: Cross multiply
    82,374.76x = 123,570.78 × 26,975.08
  4. Step 4: Simplify right side
    82,374.76x = 3,333,331,676.16
  5. Step 5: Solve for x
    x = 3,333,331,676.16/82,374.76
  6. Step 6: Final answer
    x = 40,465.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.