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Finding the Fourth Proportional to 70,580.10, 97,400.61 and 38,314.70

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Solution

The fourth proportional to 70,580.10, 97,400.61 and 38,314.70 is: 52,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,580.10 : 97,400.61 = 38,314.70 : x
  2. Step 2: Convert to fraction form
    70,580.10/97,400.61 = 38,314.70/x
  3. Step 3: Cross multiply
    70,580.10x = 97,400.61 × 38,314.70
  4. Step 4: Simplify right side
    70,580.10x = 3,731,874,473.39
  5. Step 5: Solve for x
    x = 3,731,874,473.39/70,580.10
  6. Step 6: Final answer
    x = 52,874.32

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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.