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Finding the Fourth Proportional to 75,201.84, 112,541.64 and 46,727.10

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Solution

The fourth proportional to 75,201.84, 112,541.64 and 46,727.10 is: 69,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,201.84 : 112,541.64 = 46,727.10 : x
  2. Step 2: Convert to fraction form
    75,201.84/112,541.64 = 46,727.10/x
  3. Step 3: Cross multiply
    75,201.84x = 112,541.64 × 46,727.10
  4. Step 4: Simplify right side
    75,201.84x = 5,258,744,466.44
  5. Step 5: Solve for x
    x = 5,258,744,466.44/75,201.84
  6. Step 6: Final answer
    x = 69,928.40

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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.