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Finding the Fourth Proportional to 97,337.76, 134,328.06 and 54,888

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Solution

The fourth proportional to 97,337.76, 134,328.06 and 54,888 is: 75,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,337.76 : 134,328.06 = 54,888 : x
  2. Step 2: Convert to fraction form
    97,337.76/134,328.06 = 54,888/x
  3. Step 3: Cross multiply
    97,337.76x = 134,328.06 × 54,888
  4. Step 4: Simplify right side
    97,337.76x = 7,372,998,557.28
  5. Step 5: Solve for x
    x = 7,372,998,557.28/97,337.76
  6. Step 6: Final answer
    x = 75,746.54

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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.