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Finding the Fourth Proportional to 55,041.16, 75,950.16 and 30,843.40

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Solution

The fourth proportional to 55,041.16, 75,950.16 and 30,843.40 is: 42,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,041.16 : 75,950.16 = 30,843.40 : x
  2. Step 2: Convert to fraction form
    55,041.16/75,950.16 = 30,843.40/x
  3. Step 3: Cross multiply
    55,041.16x = 75,950.16 × 30,843.40
  4. Step 4: Simplify right side
    55,041.16x = 2,342,561,164.94
  5. Step 5: Solve for x
    x = 2,342,561,164.94/55,041.16
  6. Step 6: Final answer
    x = 42,560.17

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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.