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Finding the Fourth Proportional to 46,443.80, 64,089.42 and 29,675

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Solution

The fourth proportional to 46,443.80, 64,089.42 and 29,675 is: 40,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,443.80 : 64,089.42 = 29,675 : x
  2. Step 2: Convert to fraction form
    46,443.80/64,089.42 = 29,675/x
  3. Step 3: Cross multiply
    46,443.80x = 64,089.42 × 29,675
  4. Step 4: Simplify right side
    46,443.80x = 1,901,853,538.50
  5. Step 5: Solve for x
    x = 1,901,853,538.50/46,443.80
  6. Step 6: Final answer
    x = 40,949.57

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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.