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Finding the Fourth Proportional to 42,838.30, 64,238.01 and 15,136.30

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Solution

The fourth proportional to 42,838.30, 64,238.01 and 15,136.30 is: 22,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,838.30 : 64,238.01 = 15,136.30 : x
  2. Step 2: Convert to fraction form
    42,838.30/64,238.01 = 15,136.30/x
  3. Step 3: Cross multiply
    42,838.30x = 64,238.01 × 15,136.30
  4. Step 4: Simplify right side
    42,838.30x = 972,325,790.76
  5. Step 5: Solve for x
    x = 972,325,790.76/42,838.30
  6. Step 6: Final answer
    x = 22,697.58

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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.