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Finding the Fourth Proportional to 36,065.41, 49,784.16 and 32,281.90

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Solution

The fourth proportional to 36,065.41, 49,784.16 and 32,281.90 is: 44,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,065.41 : 49,784.16 = 32,281.90 : x
  2. Step 2: Convert to fraction form
    36,065.41/49,784.16 = 32,281.90/x
  3. Step 3: Cross multiply
    36,065.41x = 49,784.16 × 32,281.90
  4. Step 4: Simplify right side
    36,065.41x = 1,607,127,113.29
  5. Step 5: Solve for x
    x = 1,607,127,113.29/36,065.41
  6. Step 6: Final answer
    x = 44,561.45

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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.