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Finding the Fourth Proportional to 42,666.15, 64,027.77 and 17,706.20

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Solution

The fourth proportional to 42,666.15, 64,027.77 and 17,706.20 is: 26,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,666.15 : 64,027.77 = 17,706.20 : x
  2. Step 2: Convert to fraction form
    42,666.15/64,027.77 = 17,706.20/x
  3. Step 3: Cross multiply
    42,666.15x = 64,027.77 × 17,706.20
  4. Step 4: Simplify right side
    42,666.15x = 1,133,688,092.50
  5. Step 5: Solve for x
    x = 1,133,688,092.50/42,666.15
  6. Step 6: Final answer
    x = 26,571.14

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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.