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Finding the Fourth Proportional to 83,319.76, 114,981.26 and 45,594

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Solution

The fourth proportional to 83,319.76, 114,981.26 and 45,594 is: 62,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,319.76 : 114,981.26 = 45,594 : x
  2. Step 2: Convert to fraction form
    83,319.76/114,981.26 = 45,594/x
  3. Step 3: Cross multiply
    83,319.76x = 114,981.26 × 45,594
  4. Step 4: Simplify right side
    83,319.76x = 5,242,455,568.44
  5. Step 5: Solve for x
    x = 5,242,455,568.44/83,319.76
  6. Step 6: Final answer
    x = 62,919.72

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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.