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Finding the Fourth Proportional to 70,535.28, 97,323.48 and 40,710

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Solution

The fourth proportional to 70,535.28, 97,323.48 and 40,710 is: 56,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,535.28 : 97,323.48 = 40,710 : x
  2. Step 2: Convert to fraction form
    70,535.28/97,323.48 = 40,710/x
  3. Step 3: Cross multiply
    70,535.28x = 97,323.48 × 40,710
  4. Step 4: Simplify right side
    70,535.28x = 3,962,038,870.80
  5. Step 5: Solve for x
    x = 3,962,038,870.80/70,535.28
  6. Step 6: Final answer
    x = 56,171.02

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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.