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Finding the Fourth Proportional to 55,893.16, 77,134.02 and 30,743.32

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Solution

The fourth proportional to 55,893.16, 77,134.02 and 30,743.32 is: 42,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,893.16 : 77,134.02 = 30,743.32 : x
  2. Step 2: Convert to fraction form
    55,893.16/77,134.02 = 30,743.32/x
  3. Step 3: Cross multiply
    55,893.16x = 77,134.02 × 30,743.32
  4. Step 4: Simplify right side
    55,893.16x = 2,371,355,859.75
  5. Step 5: Solve for x
    x = 2,371,355,859.75/55,893.16
  6. Step 6: Final answer
    x = 42,426.58

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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.