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Finding the Fourth Proportional to 77,686.29, 116,536.19 and 21,526.43

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Solution

The fourth proportional to 77,686.29, 116,536.19 and 21,526.43 is: 32,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,686.29 : 116,536.19 = 21,526.43 : x
  2. Step 2: Convert to fraction form
    77,686.29/116,536.19 = 21,526.43/x
  3. Step 3: Cross multiply
    77,686.29x = 116,536.19 × 21,526.43
  4. Step 4: Simplify right side
    77,686.29x = 2,508,607,446.19
  5. Step 5: Solve for x
    x = 2,508,607,446.19/77,686.29
  6. Step 6: Final answer
    x = 32,291.51

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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.