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Finding the Fourth Proportional to 97,789, 134,948.94 and 53,077

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Solution

The fourth proportional to 97,789, 134,948.94 and 53,077 is: 73,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,789 : 134,948.94 = 53,077 : x
  2. Step 2: Convert to fraction form
    97,789/134,948.94 = 53,077/x
  3. Step 3: Cross multiply
    97,789x = 134,948.94 × 53,077
  4. Step 4: Simplify right side
    97,789x = 7,162,684,888.38
  5. Step 5: Solve for x
    x = 7,162,684,888.38/97,789
  6. Step 6: Final answer
    x = 73,246.33

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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.