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Finding the Fourth Proportional to 53,098.84, 79,697.47 and 26,822.04

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Solution

The fourth proportional to 53,098.84, 79,697.47 and 26,822.04 is: 40,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,098.84 : 79,697.47 = 26,822.04 : x
  2. Step 2: Convert to fraction form
    53,098.84/79,697.47 = 26,822.04/x
  3. Step 3: Cross multiply
    53,098.84x = 79,697.47 × 26,822.04
  4. Step 4: Simplify right side
    53,098.84x = 2,137,648,412.61
  5. Step 5: Solve for x
    x = 2,137,648,412.61/53,098.84
  6. Step 6: Final answer
    x = 40,257.91

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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.