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Finding the Fourth Proportional to 52,214, 72,055.40 and 29,858.48

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Solution

The fourth proportional to 52,214, 72,055.40 and 29,858.48 is: 41,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214 : 72,055.40 = 29,858.48 : x
  2. Step 2: Convert to fraction form
    52,214/72,055.40 = 29,858.48/x
  3. Step 3: Cross multiply
    52,214x = 72,055.40 × 29,858.48
  4. Step 4: Simplify right side
    52,214x = 2,151,464,719.79
  5. Step 5: Solve for x
    x = 2,151,464,719.79/52,214
  6. Step 6: Final answer
    x = 41,204.75

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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.