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Finding the Fourth Proportional to 32,761.50, 45,210.90 and 17,857.50

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Solution

The fourth proportional to 32,761.50, 45,210.90 and 17,857.50 is: 24,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761.50 : 45,210.90 = 17,857.50 : x
  2. Step 2: Convert to fraction form
    32,761.50/45,210.90 = 17,857.50/x
  3. Step 3: Cross multiply
    32,761.50x = 45,210.90 × 17,857.50
  4. Step 4: Simplify right side
    32,761.50x = 807,353,646.75
  5. Step 5: Solve for x
    x = 807,353,646.75/32,761.50
  6. Step 6: Final answer
    x = 24,643.37

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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.