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Finding the Fourth Proportional to 32,711.50, 45,141.87 and 17,807.50

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Solution

The fourth proportional to 32,711.50, 45,141.87 and 17,807.50 is: 24,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711.50 : 45,141.87 = 17,807.50 : x
  2. Step 2: Convert to fraction form
    32,711.50/45,141.87 = 17,807.50/x
  3. Step 3: Cross multiply
    32,711.50x = 45,141.87 × 17,807.50
  4. Step 4: Simplify right side
    32,711.50x = 803,863,850.03
  5. Step 5: Solve for x
    x = 803,863,850.03/32,711.50
  6. Step 6: Final answer
    x = 24,574.35

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1.5x scale

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.