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Finding the Fourth Proportional to 35,315.94, 48,724.11 and 20,000.40

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Solution

The fourth proportional to 35,315.94, 48,724.11 and 20,000.40 is: 27,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,315.94 : 48,724.11 = 20,000.40 : x
  2. Step 2: Convert to fraction form
    35,315.94/48,724.11 = 20,000.40/x
  3. Step 3: Cross multiply
    35,315.94x = 48,724.11 × 20,000.40
  4. Step 4: Simplify right side
    35,315.94x = 974,501,689.64
  5. Step 5: Solve for x
    x = 974,501,689.64/35,315.94
  6. Step 6: Final answer
    x = 27,593.82

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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.