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Finding the Fourth Proportional to 50,407.94, 75,616.10 and 15,347.90

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Solution

The fourth proportional to 50,407.94, 75,616.10 and 15,347.90 is: 23,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,407.94 : 75,616.10 = 15,347.90 : x
  2. Step 2: Convert to fraction form
    50,407.94/75,616.10 = 15,347.90/x
  3. Step 3: Cross multiply
    50,407.94x = 75,616.10 × 15,347.90
  4. Step 4: Simplify right side
    50,407.94x = 1,160,548,341.19
  5. Step 5: Solve for x
    x = 1,160,548,341.19/50,407.94
  6. Step 6: Final answer
    x = 23,023.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.