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Finding the Fourth Proportional to 76,671.18, 105,808.58 and 41,748.14

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Solution

The fourth proportional to 76,671.18, 105,808.58 and 41,748.14 is: 57,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,671.18 : 105,808.58 = 41,748.14 : x
  2. Step 2: Convert to fraction form
    76,671.18/105,808.58 = 41,748.14/x
  3. Step 3: Cross multiply
    76,671.18x = 105,808.58 × 41,748.14
  4. Step 4: Simplify right side
    76,671.18x = 4,417,311,779.93
  5. Step 5: Solve for x
    x = 4,417,311,779.93/76,671.18
  6. Step 6: Final answer
    x = 57,613.72

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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.