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Finding the Fourth Proportional to 97,710.34, 134,837.88 and 54,690.40

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Solution

The fourth proportional to 97,710.34, 134,837.88 and 54,690.40 is: 75,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,710.34 : 134,837.88 = 54,690.40 : x
  2. Step 2: Convert to fraction form
    97,710.34/134,837.88 = 54,690.40/x
  3. Step 3: Cross multiply
    97,710.34x = 134,837.88 × 54,690.40
  4. Step 4: Simplify right side
    97,710.34x = 7,374,337,592.35
  5. Step 5: Solve for x
    x = 7,374,337,592.35/97,710.34
  6. Step 6: Final answer
    x = 75,471.41

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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.