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Finding the Fourth Proportional to 70,622.55, 105,934.01 and 17,314.77

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Solution

The fourth proportional to 70,622.55, 105,934.01 and 17,314.77 is: 25,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,622.55 : 105,934.01 = 17,314.77 : x
  2. Step 2: Convert to fraction form
    70,622.55/105,934.01 = 17,314.77/x
  3. Step 3: Cross multiply
    70,622.55x = 105,934.01 × 17,314.77
  4. Step 4: Simplify right side
    70,622.55x = 1,834,223,018.33
  5. Step 5: Solve for x
    x = 1,834,223,018.33/70,622.55
  6. Step 6: Final answer
    x = 25,972.20

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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.