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Finding the Fourth Proportional to 42,588.40, 64,201.51 and 39,733.96

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Solution

The fourth proportional to 42,588.40, 64,201.51 and 39,733.96 is: 59,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,588.40 : 64,201.51 = 39,733.96 : x
  2. Step 2: Convert to fraction form
    42,588.40/64,201.51 = 39,733.96/x
  3. Step 3: Cross multiply
    42,588.40x = 64,201.51 × 39,733.96
  4. Step 4: Simplify right side
    42,588.40x = 2,550,980,230.28
  5. Step 5: Solve for x
    x = 2,550,980,230.28/42,588.40
  6. Step 6: Final answer
    x = 59,898.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.