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Finding the Fourth Proportional to 64,228.40, 96,277.80 and 29,193.20

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Solution

The fourth proportional to 64,228.40, 96,277.80 and 29,193.20 is: 43,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,228.40 : 96,277.80 = 29,193.20 : x
  2. Step 2: Convert to fraction form
    64,228.40/96,277.80 = 29,193.20/x
  3. Step 3: Cross multiply
    64,228.40x = 96,277.80 × 29,193.20
  4. Step 4: Simplify right side
    64,228.40x = 2,810,657,070.96
  5. Step 5: Solve for x
    x = 2,810,657,070.96/64,228.40
  6. Step 6: Final answer
    x = 43,760.35

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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.