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Finding the Fourth Proportional to 97,329.65, 134,315.69 and 54,307.71

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Solution

The fourth proportional to 97,329.65, 134,315.69 and 54,307.71 is: 74,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,329.65 : 134,315.69 = 54,307.71 : x
  2. Step 2: Convert to fraction form
    97,329.65/134,315.69 = 54,307.71/x
  3. Step 3: Cross multiply
    97,329.65x = 134,315.69 × 54,307.71
  4. Step 4: Simplify right side
    97,329.65x = 7,294,377,269.43
  5. Step 5: Solve for x
    x = 7,294,377,269.43/97,329.65
  6. Step 6: Final answer
    x = 74,945.07

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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.