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Finding the Fourth Proportional to 43,354, 59,827.76 and 24,234.16

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Solution

The fourth proportional to 43,354, 59,827.76 and 24,234.16 is: 33,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,354 : 59,827.76 = 24,234.16 : x
  2. Step 2: Convert to fraction form
    43,354/59,827.76 = 24,234.16/x
  3. Step 3: Cross multiply
    43,354x = 59,827.76 × 24,234.16
  4. Step 4: Simplify right side
    43,354x = 1,449,875,508.28
  5. Step 5: Solve for x
    x = 1,449,875,508.28/43,354
  6. Step 6: Final answer
    x = 33,442.72

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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.