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Finding the Fourth Proportional to 97,002.67, 133,848.26 and 54,553

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Solution

The fourth proportional to 97,002.67, 133,848.26 and 54,553 is: 75,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,002.67 : 133,848.26 = 54,553 : x
  2. Step 2: Convert to fraction form
    97,002.67/133,848.26 = 54,553/x
  3. Step 3: Cross multiply
    97,002.67x = 133,848.26 × 54,553
  4. Step 4: Simplify right side
    97,002.67x = 7,301,824,127.78
  5. Step 5: Solve for x
    x = 7,301,824,127.78/97,002.67
  6. Step 6: Final answer
    x = 75,274.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.