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Finding the Fourth Proportional to 55,843.84, 77,064.67 and 31,970.69

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Solution

The fourth proportional to 55,843.84, 77,064.67 and 31,970.69 is: 44,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,843.84 : 77,064.67 = 31,970.69 : x
  2. Step 2: Convert to fraction form
    55,843.84/77,064.67 = 31,970.69/x
  3. Step 3: Cross multiply
    55,843.84x = 77,064.67 × 31,970.69
  4. Step 4: Simplify right side
    55,843.84x = 2,463,810,438.32
  5. Step 5: Solve for x
    x = 2,463,810,438.32/55,843.84
  6. Step 6: Final answer
    x = 44,119.65

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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.