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Finding the Fourth Proportional to 97,681.77, 134,794.32 and 54,653.79

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Solution

The fourth proportional to 97,681.77, 134,794.32 and 54,653.79 is: 75,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,681.77 : 134,794.32 = 54,653.79 : x
  2. Step 2: Convert to fraction form
    97,681.77/134,794.32 = 54,653.79/x
  3. Step 3: Cross multiply
    97,681.77x = 134,794.32 × 54,653.79
  4. Step 4: Simplify right side
    97,681.77x = 7,367,020,458.47
  5. Step 5: Solve for x
    x = 7,367,020,458.47/97,681.77
  6. Step 6: Final answer
    x = 75,418.58

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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.