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Finding the Fourth Proportional to 45,632.16, 62,826 and 39,741.60

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Solution

The fourth proportional to 45,632.16, 62,826 and 39,741.60 is: 54,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,632.16 : 62,826 = 39,741.60 : x
  2. Step 2: Convert to fraction form
    45,632.16/62,826 = 39,741.60/x
  3. Step 3: Cross multiply
    45,632.16x = 62,826 × 39,741.60
  4. Step 4: Simplify right side
    45,632.16x = 2,496,805,761.60
  5. Step 5: Solve for x
    x = 2,496,805,761.60/45,632.16
  6. Step 6: Final answer
    x = 54,715.92

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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.