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Finding the Fourth Proportional to 50,509.48, 69,703.54 and 27,849.28

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Solution

The fourth proportional to 50,509.48, 69,703.54 and 27,849.28 is: 38,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.48 : 69,703.54 = 27,849.28 : x
  2. Step 2: Convert to fraction form
    50,509.48/69,703.54 = 27,849.28/x
  3. Step 3: Cross multiply
    50,509.48x = 69,703.54 × 27,849.28
  4. Step 4: Simplify right side
    50,509.48x = 1,941,193,402.45
  5. Step 5: Solve for x
    x = 1,941,193,402.45/50,509.48
  6. Step 6: Final answer
    x = 38,432.26

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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.