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Finding the Fourth Proportional to 50,264.52, 75,368.07 and 20,658

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Solution

The fourth proportional to 50,264.52, 75,368.07 and 20,658 is: 30,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,264.52 : 75,368.07 = 20,658 : x
  2. Step 2: Convert to fraction form
    50,264.52/75,368.07 = 20,658/x
  3. Step 3: Cross multiply
    50,264.52x = 75,368.07 × 20,658
  4. Step 4: Simplify right side
    50,264.52x = 1,556,953,590.06
  5. Step 5: Solve for x
    x = 1,556,953,590.06/50,264.52
  6. Step 6: Final answer
    x = 30,975.20

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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.