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Finding the Fourth Proportional to 64,133.40, 96,200.10 and 29,141.40

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Solution

The fourth proportional to 64,133.40, 96,200.10 and 29,141.40 is: 43,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,133.40 : 96,200.10 = 29,141.40 : x
  2. Step 2: Convert to fraction form
    64,133.40/96,200.10 = 29,141.40/x
  3. Step 3: Cross multiply
    64,133.40x = 96,200.10 × 29,141.40
  4. Step 4: Simplify right side
    64,133.40x = 2,803,405,594.14
  5. Step 5: Solve for x
    x = 2,803,405,594.14/64,133.40
  6. Step 6: Final answer
    x = 43,712.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.