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Finding the Fourth Proportional to 70,822.80, 97,652.52 and 42,518.16

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Solution

The fourth proportional to 70,822.80, 97,652.52 and 42,518.16 is: 58,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,822.80 : 97,652.52 = 42,518.16 : x
  2. Step 2: Convert to fraction form
    70,822.80/97,652.52 = 42,518.16/x
  3. Step 3: Cross multiply
    70,822.80x = 97,652.52 × 42,518.16
  4. Step 4: Simplify right side
    70,822.80x = 4,152,005,469.76
  5. Step 5: Solve for x
    x = 4,152,005,469.76/70,822.80
  6. Step 6: Final answer
    x = 58,625.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.