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Finding the Fourth Proportional to 64,937.32, 97,460.64 and 25,522.10

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Solution

The fourth proportional to 64,937.32, 97,460.64 and 25,522.10 is: 38,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,937.32 : 97,460.64 = 25,522.10 : x
  2. Step 2: Convert to fraction form
    64,937.32/97,460.64 = 25,522.10/x
  3. Step 3: Cross multiply
    64,937.32x = 97,460.64 × 25,522.10
  4. Step 4: Simplify right side
    64,937.32x = 2,487,400,200.14
  5. Step 5: Solve for x
    x = 2,487,400,200.14/64,937.32
  6. Step 6: Final answer
    x = 38,304.63

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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.