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Finding the Fourth Proportional to 77,147.84, 115,534.89 and 53,388.81

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Solution

The fourth proportional to 77,147.84, 115,534.89 and 53,388.81 is: 79,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,147.84 : 115,534.89 = 53,388.81 : x
  2. Step 2: Convert to fraction form
    77,147.84/115,534.89 = 53,388.81/x
  3. Step 3: Cross multiply
    77,147.84x = 115,534.89 × 53,388.81
  4. Step 4: Simplify right side
    77,147.84x = 6,168,270,290.58
  5. Step 5: Solve for x
    x = 6,168,270,290.58/77,147.84
  6. Step 6: Final answer
    x = 79,953.89

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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.