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Finding the Fourth Proportional to 64,695.58, 97,042.29 and 29,137.12

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Solution

The fourth proportional to 64,695.58, 97,042.29 and 29,137.12 is: 43,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,695.58 : 97,042.29 = 29,137.12 : x
  2. Step 2: Convert to fraction form
    64,695.58/97,042.29 = 29,137.12/x
  3. Step 3: Cross multiply
    64,695.58x = 97,042.29 × 29,137.12
  4. Step 4: Simplify right side
    64,695.58x = 2,827,532,848.80
  5. Step 5: Solve for x
    x = 2,827,532,848.80/64,695.58
  6. Step 6: Final answer
    x = 43,705.19

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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.