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Finding the Fourth Proportional to 50,264, 75,430.56 and 17,432

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Solution

The fourth proportional to 50,264, 75,430.56 and 17,432 is: 26,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,264 : 75,430.56 = 17,432 : x
  2. Step 2: Convert to fraction form
    50,264/75,430.56 = 17,432/x
  3. Step 3: Cross multiply
    50,264x = 75,430.56 × 17,432
  4. Step 4: Simplify right side
    50,264x = 1,314,905,521.92
  5. Step 5: Solve for x
    x = 1,314,905,521.92/50,264
  6. Step 6: Final answer
    x = 26,159.99

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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.