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Finding the Fourth Proportional to 70,805.84, 97,714.85 and 38,977.70

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Solution

The fourth proportional to 70,805.84, 97,714.85 and 38,977.70 is: 53,790.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,805.84 : 97,714.85 = 38,977.70 : x
  2. Step 2: Convert to fraction form
    70,805.84/97,714.85 = 38,977.70/x
  3. Step 3: Cross multiply
    70,805.84x = 97,714.85 × 38,977.70
  4. Step 4: Simplify right side
    70,805.84x = 3,808,699,425.38
  5. Step 5: Solve for x
    x = 3,808,699,425.38/70,805.84
  6. Step 6: Final answer
    x = 53,790.76

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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.