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Finding the Fourth Proportional to 77,692.65, 116,509.68 and 25,088.01

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Solution

The fourth proportional to 77,692.65, 116,509.68 and 25,088.01 is: 37,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,692.65 : 116,509.68 = 25,088.01 : x
  2. Step 2: Convert to fraction form
    77,692.65/116,509.68 = 25,088.01/x
  3. Step 3: Cross multiply
    77,692.65x = 116,509.68 × 25,088.01
  4. Step 4: Simplify right side
    77,692.65x = 2,922,996,016.94
  5. Step 5: Solve for x
    x = 2,922,996,016.94/77,692.65
  6. Step 6: Final answer
    x = 37,622.56

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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.