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Finding the Fourth Proportional to 32,790.40, 48,874.31 and 31,710.40

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Solution

The fourth proportional to 32,790.40, 48,874.31 and 31,710.40 is: 47,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,790.40 : 48,874.31 = 31,710.40 : x
  2. Step 2: Convert to fraction form
    32,790.40/48,874.31 = 31,710.40/x
  3. Step 3: Cross multiply
    32,790.40x = 48,874.31 × 31,710.40
  4. Step 4: Simplify right side
    32,790.40x = 1,549,823,919.82
  5. Step 5: Solve for x
    x = 1,549,823,919.82/32,790.40
  6. Step 6: Final answer
    x = 47,264.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.