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Finding the Fourth Proportional to 64,714.88, 97,205.16 and 42,559.76

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Solution

The fourth proportional to 64,714.88, 97,205.16 and 42,559.76 is: 63,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,714.88 : 97,205.16 = 42,559.76 : x
  2. Step 2: Convert to fraction form
    64,714.88/97,205.16 = 42,559.76/x
  3. Step 3: Cross multiply
    64,714.88x = 97,205.16 × 42,559.76
  4. Step 4: Simplify right side
    64,714.88x = 4,137,028,682.97
  5. Step 5: Solve for x
    x = 4,137,028,682.97/64,714.88
  6. Step 6: Final answer
    x = 63,927.01

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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.