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Finding the Fourth Proportional to 38,457.84, 53,073.24 and 22,541.40

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Solution

The fourth proportional to 38,457.84, 53,073.24 and 22,541.40 is: 31,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.84 : 53,073.24 = 22,541.40 : x
  2. Step 2: Convert to fraction form
    38,457.84/53,073.24 = 22,541.40/x
  3. Step 3: Cross multiply
    38,457.84x = 53,073.24 × 22,541.40
  4. Step 4: Simplify right side
    38,457.84x = 1,196,345,132.14
  5. Step 5: Solve for x
    x = 1,196,345,132.14/38,457.84
  6. Step 6: Final answer
    x = 31,107.96

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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.