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Finding the Fourth Proportional to 57,497.84, 86,216.28 and 35,321.36

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Solution

The fourth proportional to 57,497.84, 86,216.28 and 35,321.36 is: 52,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,497.84 : 86,216.28 = 35,321.36 : x
  2. Step 2: Convert to fraction form
    57,497.84/86,216.28 = 35,321.36/x
  3. Step 3: Cross multiply
    57,497.84x = 86,216.28 × 35,321.36
  4. Step 4: Simplify right side
    57,497.84x = 3,045,276,263.74
  5. Step 5: Solve for x
    x = 3,045,276,263.74/57,497.84
  6. Step 6: Final answer
    x = 52,963.32

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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.