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Finding the Fourth Proportional to 70,524, 97,323.12 and 40,716

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Solution

The fourth proportional to 70,524, 97,323.12 and 40,716 is: 56,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,524 : 97,323.12 = 40,716 : x
  2. Step 2: Convert to fraction form
    70,524/97,323.12 = 40,716/x
  3. Step 3: Cross multiply
    70,524x = 97,323.12 × 40,716
  4. Step 4: Simplify right side
    70,524x = 3,962,608,153.92
  5. Step 5: Solve for x
    x = 3,962,608,153.92/70,524
  6. Step 6: Final answer
    x = 56,188.08

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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.