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Finding the Fourth Proportional to 54,697.50, 75,482.59 and 29,547

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Solution

The fourth proportional to 54,697.50, 75,482.59 and 29,547 is: 40,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,697.50 : 75,482.59 = 29,547 : x
  2. Step 2: Convert to fraction form
    54,697.50/75,482.59 = 29,547/x
  3. Step 3: Cross multiply
    54,697.50x = 75,482.59 × 29,547
  4. Step 4: Simplify right side
    54,697.50x = 2,230,284,086.73
  5. Step 5: Solve for x
    x = 2,230,284,086.73/54,697.50
  6. Step 6: Final answer
    x = 40,774.88

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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.