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Finding the Fourth Proportional to 54,323.70, 74,985.12 and 34,214.28

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Solution

The fourth proportional to 54,323.70, 74,985.12 and 34,214.28 is: 47,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,323.70 : 74,985.12 = 34,214.28 : x
  2. Step 2: Convert to fraction form
    54,323.70/74,985.12 = 34,214.28/x
  3. Step 3: Cross multiply
    54,323.70x = 74,985.12 × 34,214.28
  4. Step 4: Simplify right side
    54,323.70x = 2,565,561,891.51
  5. Step 5: Solve for x
    x = 2,565,561,891.51/54,323.70
  6. Step 6: Final answer
    x = 47,227.30

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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.