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Finding the Fourth Proportional to 50,261, 75,426.08 and 17,429

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Solution

The fourth proportional to 50,261, 75,426.08 and 17,429 is: 26,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,261 : 75,426.08 = 17,429 : x
  2. Step 2: Convert to fraction form
    50,261/75,426.08 = 17,429/x
  3. Step 3: Cross multiply
    50,261x = 75,426.08 × 17,429
  4. Step 4: Simplify right side
    50,261x = 1,314,601,148.32
  5. Step 5: Solve for x
    x = 1,314,601,148.32/50,261
  6. Step 6: Final answer
    x = 26,155.49

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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.