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Finding the Fourth Proportional to 52,474, 72,415.66 and 28,602.22

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Solution

The fourth proportional to 52,474, 72,415.66 and 28,602.22 is: 39,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,474 : 72,415.66 = 28,602.22 : x
  2. Step 2: Convert to fraction form
    52,474/72,415.66 = 28,602.22/x
  3. Step 3: Cross multiply
    52,474x = 72,415.66 × 28,602.22
  4. Step 4: Simplify right side
    52,474x = 2,071,248,638.77
  5. Step 5: Solve for x
    x = 2,071,248,638.77/52,474
  6. Step 6: Final answer
    x = 39,471.90

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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.