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Finding the Fourth Proportional to 53,413, 73,707.04 and 29,538.28

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Solution

The fourth proportional to 53,413, 73,707.04 and 29,538.28 is: 40,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,413 : 73,707.04 = 29,538.28 : x
  2. Step 2: Convert to fraction form
    53,413/73,707.04 = 29,538.28/x
  3. Step 3: Cross multiply
    53,413x = 73,707.04 × 29,538.28
  4. Step 4: Simplify right side
    53,413x = 2,177,179,185.49
  5. Step 5: Solve for x
    x = 2,177,179,185.49/53,413
  6. Step 6: Final answer
    x = 40,761.22

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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.