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Finding the Fourth Proportional to 35,689.68, 49,251.74 and 20,582.12

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Solution

The fourth proportional to 35,689.68, 49,251.74 and 20,582.12 is: 28,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.68 : 49,251.74 = 20,582.12 : x
  2. Step 2: Convert to fraction form
    35,689.68/49,251.74 = 20,582.12/x
  3. Step 3: Cross multiply
    35,689.68x = 49,251.74 × 20,582.12
  4. Step 4: Simplify right side
    35,689.68x = 1,013,705,243.11
  5. Step 5: Solve for x
    x = 1,013,705,243.11/35,689.68
  6. Step 6: Final answer
    x = 28,403.32

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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.