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Finding the Fourth Proportional to 97,706.34, 134,832.36 and 54,686.40

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Solution

The fourth proportional to 97,706.34, 134,832.36 and 54,686.40 is: 75,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,706.34 : 134,832.36 = 54,686.40 : x
  2. Step 2: Convert to fraction form
    97,706.34/134,832.36 = 54,686.40/x
  3. Step 3: Cross multiply
    97,706.34x = 134,832.36 × 54,686.40
  4. Step 4: Simplify right side
    97,706.34x = 7,373,496,371.90
  5. Step 5: Solve for x
    x = 7,373,496,371.90/97,706.34
  6. Step 6: Final answer
    x = 75,465.89

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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.