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Finding the Fourth Proportional to 75,032.64, 112,628.16 and 35,622.72

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Solution

The fourth proportional to 75,032.64, 112,628.16 and 35,622.72 is: 53,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,032.64 : 112,628.16 = 35,622.72 : x
  2. Step 2: Convert to fraction form
    75,032.64/112,628.16 = 35,622.72/x
  3. Step 3: Cross multiply
    75,032.64x = 112,628.16 × 35,622.72
  4. Step 4: Simplify right side
    75,032.64x = 4,012,121,407.80
  5. Step 5: Solve for x
    x = 4,012,121,407.80/75,032.64
  6. Step 6: Final answer
    x = 53,471.68

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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.