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Finding the Fourth Proportional to 51,217, 70,698.90 and 34,459.72

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Solution

The fourth proportional to 51,217, 70,698.90 and 34,459.72 is: 47,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,217 : 70,698.90 = 34,459.72 : x
  2. Step 2: Convert to fraction form
    51,217/70,698.90 = 34,459.72/x
  3. Step 3: Cross multiply
    51,217x = 70,698.90 × 34,459.72
  4. Step 4: Simplify right side
    51,217x = 2,436,264,298.31
  5. Step 5: Solve for x
    x = 2,436,264,298.31/51,217
  6. Step 6: Final answer
    x = 47,567.49

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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.