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Finding the Fourth Proportional to 54,457.76, 75,142.88 and 34,037.42

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Solution

The fourth proportional to 54,457.76, 75,142.88 and 34,037.42 is: 46,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,457.76 : 75,142.88 = 34,037.42 : x
  2. Step 2: Convert to fraction form
    54,457.76/75,142.88 = 34,037.42/x
  3. Step 3: Cross multiply
    54,457.76x = 75,142.88 × 34,037.42
  4. Step 4: Simplify right side
    54,457.76x = 2,557,669,766.57
  5. Step 5: Solve for x
    x = 2,557,669,766.57/54,457.76
  6. Step 6: Final answer
    x = 46,966.12

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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.