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Finding the Fourth Proportional to 97,277.49, 134,242.72 and 54,835.72

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Solution

The fourth proportional to 97,277.49, 134,242.72 and 54,835.72 is: 75,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,277.49 : 134,242.72 = 54,835.72 : x
  2. Step 2: Convert to fraction form
    97,277.49/134,242.72 = 54,835.72/x
  3. Step 3: Cross multiply
    97,277.49x = 134,242.72 × 54,835.72
  4. Step 4: Simplify right side
    97,277.49x = 7,361,295,733.26
  5. Step 5: Solve for x
    x = 7,361,295,733.26/97,277.49
  6. Step 6: Final answer
    x = 75,673.17

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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.