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Finding the Fourth Proportional to 70,142.23, 105,237.95 and 36,392.02

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Solution

The fourth proportional to 70,142.23, 105,237.95 and 36,392.02 is: 54,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142.23 : 105,237.95 = 36,392.02 : x
  2. Step 2: Convert to fraction form
    70,142.23/105,237.95 = 36,392.02/x
  3. Step 3: Cross multiply
    70,142.23x = 105,237.95 × 36,392.02
  4. Step 4: Simplify right side
    70,142.23x = 3,829,821,581.16
  5. Step 5: Solve for x
    x = 3,829,821,581.16/70,142.23
  6. Step 6: Final answer
    x = 54,600.80

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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.