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Finding the Fourth Proportional to 42,995.36, 64,511.52 and 23,288

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Solution

The fourth proportional to 42,995.36, 64,511.52 and 23,288 is: 34,942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,995.36 : 64,511.52 = 23,288 : x
  2. Step 2: Convert to fraction form
    42,995.36/64,511.52 = 23,288/x
  3. Step 3: Cross multiply
    42,995.36x = 64,511.52 × 23,288
  4. Step 4: Simplify right side
    42,995.36x = 1,502,344,277.76
  5. Step 5: Solve for x
    x = 1,502,344,277.76/42,995.36
  6. Step 6: Final answer
    x = 34,942.01

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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.