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Finding the Fourth Proportional to 64,695.64, 97,054.52 and 29,638.32

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Solution

The fourth proportional to 64,695.64, 97,054.52 and 29,638.32 is: 44,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,695.64 : 97,054.52 = 29,638.32 : x
  2. Step 2: Convert to fraction form
    64,695.64/97,054.52 = 29,638.32/x
  3. Step 3: Cross multiply
    64,695.64x = 97,054.52 × 29,638.32
  4. Step 4: Simplify right side
    64,695.64x = 2,876,532,921.21
  5. Step 5: Solve for x
    x = 2,876,532,921.21/64,695.64
  6. Step 6: Final answer
    x = 44,462.55

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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.