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Finding the Fourth Proportional to 70,425.34, 105,642.29 and 23,045.42

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Solution

The fourth proportional to 70,425.34, 105,642.29 and 23,045.42 is: 34,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,425.34 : 105,642.29 = 23,045.42 : x
  2. Step 2: Convert to fraction form
    70,425.34/105,642.29 = 23,045.42/x
  3. Step 3: Cross multiply
    70,425.34x = 105,642.29 × 23,045.42
  4. Step 4: Simplify right side
    70,425.34x = 2,434,571,264.53
  5. Step 5: Solve for x
    x = 2,434,571,264.53/70,425.34
  6. Step 6: Final answer
    x = 34,569.54

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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.