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Finding the Fourth Proportional to 53,752.96, 74,009.68 and 48,770.70

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Solution

The fourth proportional to 53,752.96, 74,009.68 and 48,770.70 is: 67,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,752.96 : 74,009.68 = 48,770.70 : x
  2. Step 2: Convert to fraction form
    53,752.96/74,009.68 = 48,770.70/x
  3. Step 3: Cross multiply
    53,752.96x = 74,009.68 × 48,770.70
  4. Step 4: Simplify right side
    53,752.96x = 3,609,503,900.38
  5. Step 5: Solve for x
    x = 3,609,503,900.38/53,752.96
  6. Step 6: Final answer
    x = 67,149.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.