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Finding the Fourth Proportional to 117,560.96, 176,297.70 and 47,402

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Solution

The fourth proportional to 117,560.96, 176,297.70 and 47,402 is: 71,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,560.96 : 176,297.70 = 47,402 : x
  2. Step 2: Convert to fraction form
    117,560.96/176,297.70 = 47,402/x
  3. Step 3: Cross multiply
    117,560.96x = 176,297.70 × 47,402
  4. Step 4: Simplify right side
    117,560.96x = 8,356,863,575.40
  5. Step 5: Solve for x
    x = 8,356,863,575.40/117,560.96
  6. Step 6: Final answer
    x = 71,085.36

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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.