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Finding the Fourth Proportional to 56,238.84, 77,625 and 35,005.68

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Solution

The fourth proportional to 56,238.84, 77,625 and 35,005.68 is: 48,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,238.84 : 77,625 = 35,005.68 : x
  2. Step 2: Convert to fraction form
    56,238.84/77,625 = 35,005.68/x
  3. Step 3: Cross multiply
    56,238.84x = 77,625 × 35,005.68
  4. Step 4: Simplify right side
    56,238.84x = 2,717,315,910
  5. Step 5: Solve for x
    x = 2,717,315,910/56,238.84
  6. Step 6: Final answer
    x = 48,317.42

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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.