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Finding the Fourth Proportional to 32,442.50, 44,770.66 and 17,538.50

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Solution

The fourth proportional to 32,442.50, 44,770.66 and 17,538.50 is: 24,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.50 : 44,770.66 = 17,538.50 : x
  2. Step 2: Convert to fraction form
    32,442.50/44,770.66 = 17,538.50/x
  3. Step 3: Cross multiply
    32,442.50x = 44,770.66 × 17,538.50
  4. Step 4: Simplify right side
    32,442.50x = 785,210,220.41
  5. Step 5: Solve for x
    x = 785,210,220.41/32,442.50
  6. Step 6: Final answer
    x = 24,203.14

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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.