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Finding the Fourth Proportional to 52,214, 72,059.64 and 29,862.32

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Solution

The fourth proportional to 52,214, 72,059.64 and 29,862.32 is: 41,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214 : 72,059.64 = 29,862.32 : x
  2. Step 2: Convert to fraction form
    52,214/72,059.64 = 29,862.32/x
  3. Step 3: Cross multiply
    52,214x = 72,059.64 × 29,862.32
  4. Step 4: Simplify right side
    52,214x = 2,151,868,028.76
  5. Step 5: Solve for x
    x = 2,151,868,028.76/52,214
  6. Step 6: Final answer
    x = 41,212.47

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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.