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Finding the Fourth Proportional to 42,872.25, 64,312.83 and 11,707.50

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Solution

The fourth proportional to 42,872.25, 64,312.83 and 11,707.50 is: 17,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,872.25 : 64,312.83 = 11,707.50 : x
  2. Step 2: Convert to fraction form
    42,872.25/64,312.83 = 11,707.50/x
  3. Step 3: Cross multiply
    42,872.25x = 64,312.83 × 11,707.50
  4. Step 4: Simplify right side
    42,872.25x = 752,942,457.23
  5. Step 5: Solve for x
    x = 752,942,457.23/42,872.25
  6. Step 6: Final answer
    x = 17,562.47

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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.