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Finding the Fourth Proportional to 97,608.81, 134,699.20 and 54,587.82

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Solution

The fourth proportional to 97,608.81, 134,699.20 and 54,587.82 is: 75,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,608.81 : 134,699.20 = 54,587.82 : x
  2. Step 2: Convert to fraction form
    97,608.81/134,699.20 = 54,587.82/x
  3. Step 3: Cross multiply
    97,608.81x = 134,699.20 × 54,587.82
  4. Step 4: Simplify right side
    97,608.81x = 7,352,935,683.74
  5. Step 5: Solve for x
    x = 7,352,935,683.74/97,608.81
  6. Step 6: Final answer
    x = 75,330.66

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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.