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Finding the Fourth Proportional to 64,754.36, 97,106 and 31,464.58

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Solution

The fourth proportional to 64,754.36, 97,106 and 31,464.58 is: 47,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,754.36 : 97,106 = 31,464.58 : x
  2. Step 2: Convert to fraction form
    64,754.36/97,106 = 31,464.58/x
  3. Step 3: Cross multiply
    64,754.36x = 97,106 × 31,464.58
  4. Step 4: Simplify right side
    64,754.36x = 3,055,399,505.48
  5. Step 5: Solve for x
    x = 3,055,399,505.48/64,754.36
  6. Step 6: Final answer
    x = 47,184.46

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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.