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Finding the Fourth Proportional to 64,817.60, 97,226.40 and 47,102.90

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Solution

The fourth proportional to 64,817.60, 97,226.40 and 47,102.90 is: 70,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,817.60 : 97,226.40 = 47,102.90 : x
  2. Step 2: Convert to fraction form
    64,817.60/97,226.40 = 47,102.90/x
  3. Step 3: Cross multiply
    64,817.60x = 97,226.40 × 47,102.90
  4. Step 4: Simplify right side
    64,817.60x = 4,579,645,396.56
  5. Step 5: Solve for x
    x = 4,579,645,396.56/64,817.60
  6. Step 6: Final answer
    x = 70,654.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.