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Finding the Fourth Proportional to 50,588, 75,881.88 and 17,308.40

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Solution

The fourth proportional to 50,588, 75,881.88 and 17,308.40 is: 25,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,588 : 75,881.88 = 17,308.40 : x
  2. Step 2: Convert to fraction form
    50,588/75,881.88 = 17,308.40/x
  3. Step 3: Cross multiply
    50,588x = 75,881.88 × 17,308.40
  4. Step 4: Simplify right side
    50,588x = 1,313,393,931.79
  5. Step 5: Solve for x
    x = 1,313,393,931.79/50,588
  6. Step 6: Final answer
    x = 25,962.56

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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.