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Finding the Fourth Proportional to 32,854.98, 49,279.95 and 12,076.50

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Solution

The fourth proportional to 32,854.98, 49,279.95 and 12,076.50 is: 18,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.98 : 49,279.95 = 12,076.50 : x
  2. Step 2: Convert to fraction form
    32,854.98/49,279.95 = 12,076.50/x
  3. Step 3: Cross multiply
    32,854.98x = 49,279.95 × 12,076.50
  4. Step 4: Simplify right side
    32,854.98x = 595,129,316.18
  5. Step 5: Solve for x
    x = 595,129,316.18/32,854.98
  6. Step 6: Final answer
    x = 18,113.82

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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.