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Finding the Fourth Proportional to 54,386.76, 75,114.54 and 37,443

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Solution

The fourth proportional to 54,386.76, 75,114.54 and 37,443 is: 51,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,386.76 : 75,114.54 = 37,443 : x
  2. Step 2: Convert to fraction form
    54,386.76/75,114.54 = 37,443/x
  3. Step 3: Cross multiply
    54,386.76x = 75,114.54 × 37,443
  4. Step 4: Simplify right side
    54,386.76x = 2,812,513,721.22
  5. Step 5: Solve for x
    x = 2,812,513,721.22/54,386.76
  6. Step 6: Final answer
    x = 51,713.21

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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.