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Finding the Fourth Proportional to 64,937.60, 97,406.40 and 47,441.60

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Solution

The fourth proportional to 64,937.60, 97,406.40 and 47,441.60 is: 71,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,937.60 : 97,406.40 = 47,441.60 : x
  2. Step 2: Convert to fraction form
    64,937.60/97,406.40 = 47,441.60/x
  3. Step 3: Cross multiply
    64,937.60x = 97,406.40 × 47,441.60
  4. Step 4: Simplify right side
    64,937.60x = 4,621,115,466.24
  5. Step 5: Solve for x
    x = 4,621,115,466.24/64,937.60
  6. Step 6: Final answer
    x = 71,162.40

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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.