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Finding the Fourth Proportional to 97,409.34, 134,423.58 and 54,389.50

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Solution

The fourth proportional to 97,409.34, 134,423.58 and 54,389.50 is: 75,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,409.34 : 134,423.58 = 54,389.50 : x
  2. Step 2: Convert to fraction form
    97,409.34/134,423.58 = 54,389.50/x
  3. Step 3: Cross multiply
    97,409.34x = 134,423.58 × 54,389.50
  4. Step 4: Simplify right side
    97,409.34x = 7,311,231,304.41
  5. Step 5: Solve for x
    x = 7,311,231,304.41/97,409.34
  6. Step 6: Final answer
    x = 75,056.78

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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.