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Finding the Fourth Proportional to 52,205.66, 72,103.62 and 34,380.34

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Solution

The fourth proportional to 52,205.66, 72,103.62 and 34,380.34 is: 47,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.66 : 72,103.62 = 34,380.34 : x
  2. Step 2: Convert to fraction form
    52,205.66/72,103.62 = 34,380.34/x
  3. Step 3: Cross multiply
    52,205.66x = 72,103.62 × 34,380.34
  4. Step 4: Simplify right side
    52,205.66x = 2,478,946,970.83
  5. Step 5: Solve for x
    x = 2,478,946,970.83/52,205.66
  6. Step 6: Final answer
    x = 47,484.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.