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Finding the Fourth Proportional to 65,196.81, 97,828.02 and 48,590.19

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Solution

The fourth proportional to 65,196.81, 97,828.02 and 48,590.19 is: 72,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.81 : 97,828.02 = 48,590.19 : x
  2. Step 2: Convert to fraction form
    65,196.81/97,828.02 = 48,590.19/x
  3. Step 3: Cross multiply
    65,196.81x = 97,828.02 × 48,590.19
  4. Step 4: Simplify right side
    65,196.81x = 4,753,482,079.12
  5. Step 5: Solve for x
    x = 4,753,482,079.12/65,196.81
  6. Step 6: Final answer
    x = 72,909.73

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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.