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Finding the Fourth Proportional to 70,822.85, 97,752.15 and 40,607.64

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Solution

The fourth proportional to 70,822.85, 97,752.15 and 40,607.64 is: 56,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,822.85 : 97,752.15 = 40,607.64 : x
  2. Step 2: Convert to fraction form
    70,822.85/97,752.15 = 40,607.64/x
  3. Step 3: Cross multiply
    70,822.85x = 97,752.15 × 40,607.64
  4. Step 4: Simplify right side
    70,822.85x = 3,969,484,116.43
  5. Step 5: Solve for x
    x = 3,969,484,116.43/70,822.85
  6. Step 6: Final answer
    x = 56,048.07

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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.