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Finding the Fourth Proportional to 70,294.16, 105,407.22 and 25,941.80

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Solution

The fourth proportional to 70,294.16, 105,407.22 and 25,941.80 is: 38,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,294.16 : 105,407.22 = 25,941.80 : x
  2. Step 2: Convert to fraction form
    70,294.16/105,407.22 = 25,941.80/x
  3. Step 3: Cross multiply
    70,294.16x = 105,407.22 × 25,941.80
  4. Step 4: Simplify right side
    70,294.16x = 2,734,453,019.80
  5. Step 5: Solve for x
    x = 2,734,453,019.80/70,294.16
  6. Step 6: Final answer
    x = 38,900.15

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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.