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Finding the Fourth Proportional to 64,338.40, 96,475.20 and 38,051.20

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Solution

The fourth proportional to 64,338.40, 96,475.20 and 38,051.20 is: 57,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,338.40 : 96,475.20 = 38,051.20 : x
  2. Step 2: Convert to fraction form
    64,338.40/96,475.20 = 38,051.20/x
  3. Step 3: Cross multiply
    64,338.40x = 96,475.20 × 38,051.20
  4. Step 4: Simplify right side
    64,338.40x = 3,670,997,130.24
  5. Step 5: Solve for x
    x = 3,670,997,130.24/64,338.40
  6. Step 6: Final answer
    x = 57,057.64

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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.