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Finding the Fourth Proportional to 64,844.34, 97,275.01 and 25,396.32

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Solution

The fourth proportional to 64,844.34, 97,275.01 and 25,396.32 is: 38,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,844.34 : 97,275.01 = 25,396.32 : x
  2. Step 2: Convert to fraction form
    64,844.34/97,275.01 = 25,396.32/x
  3. Step 3: Cross multiply
    64,844.34x = 97,275.01 × 25,396.32
  4. Step 4: Simplify right side
    64,844.34x = 2,470,427,281.96
  5. Step 5: Solve for x
    x = 2,470,427,281.96/64,844.34
  6. Step 6: Final answer
    x = 38,097.81

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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.