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Finding the Fourth Proportional to 70,402.48, 105,592.70 and 23,017.20

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Solution

The fourth proportional to 70,402.48, 105,592.70 and 23,017.20 is: 34,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,402.48 : 105,592.70 = 23,017.20 : x
  2. Step 2: Convert to fraction form
    70,402.48/105,592.70 = 23,017.20/x
  3. Step 3: Cross multiply
    70,402.48x = 105,592.70 × 23,017.20
  4. Step 4: Simplify right side
    70,402.48x = 2,430,448,294.44
  5. Step 5: Solve for x
    x = 2,430,448,294.44/70,402.48
  6. Step 6: Final answer
    x = 34,522.20

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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.