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Finding the Fourth Proportional to 97,319.61, 134,300.84 and 54,877.84

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Solution

The fourth proportional to 97,319.61, 134,300.84 and 54,877.84 is: 75,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,319.61 : 134,300.84 = 54,877.84 : x
  2. Step 2: Convert to fraction form
    97,319.61/134,300.84 = 54,877.84/x
  3. Step 3: Cross multiply
    97,319.61x = 134,300.84 × 54,877.84
  4. Step 4: Simplify right side
    97,319.61x = 7,370,139,399.24
  5. Step 5: Solve for x
    x = 7,370,139,399.24/97,319.61
  6. Step 6: Final answer
    x = 75,731.29

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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.