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Finding the Fourth Proportional to 40,242.84, 55,536 and 22,337.58

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Solution

The fourth proportional to 40,242.84, 55,536 and 22,337.58 is: 30,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,242.84 : 55,536 = 22,337.58 : x
  2. Step 2: Convert to fraction form
    40,242.84/55,536 = 22,337.58/x
  3. Step 3: Cross multiply
    40,242.84x = 55,536 × 22,337.58
  4. Step 4: Simplify right side
    40,242.84x = 1,240,539,842.88
  5. Step 5: Solve for x
    x = 1,240,539,842.88/40,242.84
  6. Step 6: Final answer
    x = 30,826.35

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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.