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Finding the Fourth Proportional to 75,225.81, 112,824.54 and 37,775.73

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Solution

The fourth proportional to 75,225.81, 112,824.54 and 37,775.73 is: 56,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,225.81 : 112,824.54 = 37,775.73 : x
  2. Step 2: Convert to fraction form
    75,225.81/112,824.54 = 37,775.73/x
  3. Step 3: Cross multiply
    75,225.81x = 112,824.54 × 37,775.73
  4. Step 4: Simplify right side
    75,225.81x = 4,262,029,360.41
  5. Step 5: Solve for x
    x = 4,262,029,360.41/75,225.81
  6. Step 6: Final answer
    x = 56,656.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.