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Finding the Fourth Proportional to 77,734.92, 116,602.38 and 42,896.01

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Solution

The fourth proportional to 77,734.92, 116,602.38 and 42,896.01 is: 64,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,734.92 : 116,602.38 = 42,896.01 : x
  2. Step 2: Convert to fraction form
    77,734.92/116,602.38 = 42,896.01/x
  3. Step 3: Cross multiply
    77,734.92x = 116,602.38 × 42,896.01
  4. Step 4: Simplify right side
    77,734.92x = 5,001,776,644.02
  5. Step 5: Solve for x
    x = 5,001,776,644.02/77,734.92
  6. Step 6: Final answer
    x = 64,344.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.