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Finding the Fourth Proportional to 65,384.58, 90,232.47 and 37,094.52

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Solution

The fourth proportional to 65,384.58, 90,232.47 and 37,094.52 is: 51,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384.58 : 90,232.47 = 37,094.52 : x
  2. Step 2: Convert to fraction form
    65,384.58/90,232.47 = 37,094.52/x
  3. Step 3: Cross multiply
    65,384.58x = 90,232.47 × 37,094.52
  4. Step 4: Simplify right side
    65,384.58x = 3,347,130,163.06
  5. Step 5: Solve for x
    x = 3,347,130,163.06/65,384.58
  6. Step 6: Final answer
    x = 51,191.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.