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Finding the Fourth Proportional to 77,607.52, 116,410.44 and 54,717.16

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Solution

The fourth proportional to 77,607.52, 116,410.44 and 54,717.16 is: 82,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,607.52 : 116,410.44 = 54,717.16 : x
  2. Step 2: Convert to fraction form
    77,607.52/116,410.44 = 54,717.16/x
  3. Step 3: Cross multiply
    77,607.52x = 116,410.44 × 54,717.16
  4. Step 4: Simplify right side
    77,607.52x = 6,369,648,671.15
  5. Step 5: Solve for x
    x = 6,369,648,671.15/77,607.52
  6. Step 6: Final answer
    x = 82,075.15

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Why These Related Problems?

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