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Finding the Fourth Proportional to 34,506, 47,618.28 and 19,602

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Solution

The fourth proportional to 34,506, 47,618.28 and 19,602 is: 27,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506 : 47,618.28 = 19,602 : x
  2. Step 2: Convert to fraction form
    34,506/47,618.28 = 19,602/x
  3. Step 3: Cross multiply
    34,506x = 47,618.28 × 19,602
  4. Step 4: Simplify right side
    34,506x = 933,413,524.56
  5. Step 5: Solve for x
    x = 933,413,524.56/34,506
  6. Step 6: Final answer
    x = 27,050.76

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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.