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Finding the Fourth Proportional to 75,234.76, 103,823.98 and 41,700.76

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Solution

The fourth proportional to 75,234.76, 103,823.98 and 41,700.76 is: 57,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,234.76 : 103,823.98 = 41,700.76 : x
  2. Step 2: Convert to fraction form
    75,234.76/103,823.98 = 41,700.76/x
  3. Step 3: Cross multiply
    75,234.76x = 103,823.98 × 41,700.76
  4. Step 4: Simplify right side
    75,234.76x = 4,329,538,872.22
  5. Step 5: Solve for x
    x = 4,329,538,872.22/75,234.76
  6. Step 6: Final answer
    x = 57,547.06

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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.