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Finding the Fourth Proportional to 35,338.60, 48,766.62 and 19,423

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Solution

The fourth proportional to 35,338.60, 48,766.62 and 19,423 is: 26,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338.60 : 48,766.62 = 19,423 : x
  2. Step 2: Convert to fraction form
    35,338.60/48,766.62 = 19,423/x
  3. Step 3: Cross multiply
    35,338.60x = 48,766.62 × 19,423
  4. Step 4: Simplify right side
    35,338.60x = 947,194,060.26
  5. Step 5: Solve for x
    x = 947,194,060.26/35,338.60
  6. Step 6: Final answer
    x = 26,803.38

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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.