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Finding the Fourth Proportional to 77,643.36, 116,464.87 and 24,339.46

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Solution

The fourth proportional to 77,643.36, 116,464.87 and 24,339.46 is: 36,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,643.36 : 116,464.87 = 24,339.46 : x
  2. Step 2: Convert to fraction form
    77,643.36/116,464.87 = 24,339.46/x
  3. Step 3: Cross multiply
    77,643.36x = 116,464.87 × 24,339.46
  4. Step 4: Simplify right side
    77,643.36x = 2,834,692,044.77
  5. Step 5: Solve for x
    x = 2,834,692,044.77/77,643.36
  6. Step 6: Final answer
    x = 36,509.14

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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.