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Finding the Fourth Proportional to 54,886.95, 82,346.24 and 26,823.18

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Solution

The fourth proportional to 54,886.95, 82,346.24 and 26,823.18 is: 40,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,886.95 : 82,346.24 = 26,823.18 : x
  2. Step 2: Convert to fraction form
    54,886.95/82,346.24 = 26,823.18/x
  3. Step 3: Cross multiply
    54,886.95x = 82,346.24 × 26,823.18
  4. Step 4: Simplify right side
    54,886.95x = 2,208,788,017.84
  5. Step 5: Solve for x
    x = 2,208,788,017.84/54,886.95
  6. Step 6: Final answer
    x = 40,242.50

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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.