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Finding the Fourth Proportional to 32,874.48, 49,314.45 and 14,154.98

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Solution

The fourth proportional to 32,874.48, 49,314.45 and 14,154.98 is: 21,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.48 : 49,314.45 = 14,154.98 : x
  2. Step 2: Convert to fraction form
    32,874.48/49,314.45 = 14,154.98/x
  3. Step 3: Cross multiply
    32,874.48x = 49,314.45 × 14,154.98
  4. Step 4: Simplify right side
    32,874.48x = 698,044,806.89
  5. Step 5: Solve for x
    x = 698,044,806.89/32,874.48
  6. Step 6: Final answer
    x = 21,233.64

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1.5x scale

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.