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Finding the Fourth Proportional to 33,237.84, 49,868.68 and 14,254.53

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Solution

The fourth proportional to 33,237.84, 49,868.68 and 14,254.53 is: 21,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237.84 : 49,868.68 = 14,254.53 : x
  2. Step 2: Convert to fraction form
    33,237.84/49,868.68 = 14,254.53/x
  3. Step 3: Cross multiply
    33,237.84x = 49,868.68 × 14,254.53
  4. Step 4: Simplify right side
    33,237.84x = 710,854,345.78
  5. Step 5: Solve for x
    x = 710,854,345.78/33,237.84
  6. Step 6: Final answer
    x = 21,386.90

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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.