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Finding the Fourth Proportional to 77,477.28, 116,200.61 and 21,302.90

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Solution

The fourth proportional to 77,477.28, 116,200.61 and 21,302.90 is: 31,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,477.28 : 116,200.61 = 21,302.90 : x
  2. Step 2: Convert to fraction form
    77,477.28/116,200.61 = 21,302.90/x
  3. Step 3: Cross multiply
    77,477.28x = 116,200.61 × 21,302.90
  4. Step 4: Simplify right side
    77,477.28x = 2,475,409,287.25
  5. Step 5: Solve for x
    x = 2,475,409,287.25/77,477.28
  6. Step 6: Final answer
    x = 31,950.13

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