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Finding the Fourth Proportional to 97,047.34, 133,977.89 and 68,064.71

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Solution

The fourth proportional to 97,047.34, 133,977.89 and 68,064.71 is: 93,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,047.34 : 133,977.89 = 68,064.71 : x
  2. Step 2: Convert to fraction form
    97,047.34/133,977.89 = 68,064.71/x
  3. Step 3: Cross multiply
    97,047.34x = 133,977.89 × 68,064.71
  4. Step 4: Simplify right side
    97,047.34x = 9,119,166,229.26
  5. Step 5: Solve for x
    x = 9,119,166,229.26/97,047.34
  6. Step 6: Final answer
    x = 93,966.17

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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.