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Finding the Fourth Proportional to 128,733.25, 193,113.24 and 35,239

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Solution

The fourth proportional to 128,733.25, 193,113.24 and 35,239 is: 52,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,733.25 : 193,113.24 = 35,239 : x
  2. Step 2: Convert to fraction form
    128,733.25/193,113.24 = 35,239/x
  3. Step 3: Cross multiply
    128,733.25x = 193,113.24 × 35,239
  4. Step 4: Simplify right side
    128,733.25x = 6,805,117,464.36
  5. Step 5: Solve for x
    x = 6,805,117,464.36/128,733.25
  6. Step 6: Final answer
    x = 52,862.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.