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Finding the Fourth Proportional to 73,685.58, 110,541.74 and 42,131.22

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Solution

The fourth proportional to 73,685.58, 110,541.74 and 42,131.22 is: 63,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,685.58 : 110,541.74 = 42,131.22 : x
  2. Step 2: Convert to fraction form
    73,685.58/110,541.74 = 42,131.22/x
  3. Step 3: Cross multiply
    73,685.58x = 110,541.74 × 42,131.22
  4. Step 4: Simplify right side
    73,685.58x = 4,657,258,156.47
  5. Step 5: Solve for x
    x = 4,657,258,156.47/73,685.58
  6. Step 6: Final answer
    x = 63,204.47

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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.