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Finding the Fourth Proportional to 70,846.28, 97,764 and 40,632.86

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Solution

The fourth proportional to 70,846.28, 97,764 and 40,632.86 is: 56,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,846.28 : 97,764 = 40,632.86 : x
  2. Step 2: Convert to fraction form
    70,846.28/97,764 = 40,632.86/x
  3. Step 3: Cross multiply
    70,846.28x = 97,764 × 40,632.86
  4. Step 4: Simplify right side
    70,846.28x = 3,972,430,925.04
  5. Step 5: Solve for x
    x = 3,972,430,925.04/70,846.28
  6. Step 6: Final answer
    x = 56,071.13

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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.