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Finding the Fourth Proportional to 97,000.34, 133,859.86 and 54,559.31

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Solution

The fourth proportional to 97,000.34, 133,859.86 and 54,559.31 is: 75,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,000.34 : 133,859.86 = 54,559.31 : x
  2. Step 2: Convert to fraction form
    97,000.34/133,859.86 = 54,559.31/x
  3. Step 3: Cross multiply
    97,000.34x = 133,859.86 × 54,559.31
  4. Step 4: Simplify right side
    97,000.34x = 7,303,300,792.60
  5. Step 5: Solve for x
    x = 7,303,300,792.60/97,000.34
  6. Step 6: Final answer
    x = 75,291.50

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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.