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Finding the Fourth Proportional to 56,283.84, 77,667.84 and 31,134.24

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Solution

The fourth proportional to 56,283.84, 77,667.84 and 31,134.24 is: 42,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,283.84 : 77,667.84 = 31,134.24 : x
  2. Step 2: Convert to fraction form
    56,283.84/77,667.84 = 31,134.24/x
  3. Step 3: Cross multiply
    56,283.84x = 77,667.84 × 31,134.24
  4. Step 4: Simplify right side
    56,283.84x = 2,418,129,170.84
  5. Step 5: Solve for x
    x = 2,418,129,170.84/56,283.84
  6. Step 6: Final answer
    x = 42,963.12

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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.