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Finding the Fourth Proportional to 97,768.62, 134,920.69 and 53,056.62

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Solution

The fourth proportional to 97,768.62, 134,920.69 and 53,056.62 is: 73,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,768.62 : 134,920.69 = 53,056.62 : x
  2. Step 2: Convert to fraction form
    97,768.62/134,920.69 = 53,056.62/x
  3. Step 3: Cross multiply
    97,768.62x = 134,920.69 × 53,056.62
  4. Step 4: Simplify right side
    97,768.62x = 7,158,435,779.47
  5. Step 5: Solve for x
    x = 7,158,435,779.47/97,768.62
  6. Step 6: Final answer
    x = 73,218.13

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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.