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Finding the Fourth Proportional to 77,784.58, 116,647.68 and 61,338.34

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Solution

The fourth proportional to 77,784.58, 116,647.68 and 61,338.34 is: 91,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,784.58 : 116,647.68 = 61,338.34 : x
  2. Step 2: Convert to fraction form
    77,784.58/116,647.68 = 61,338.34/x
  3. Step 3: Cross multiply
    77,784.58x = 116,647.68 × 61,338.34
  4. Step 4: Simplify right side
    77,784.58x = 7,154,975,056.05
  5. Step 5: Solve for x
    x = 7,154,975,056.05/77,784.58
  6. Step 6: Final answer
    x = 91,984.49

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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.