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Finding the Fourth Proportional to 59,978.16, 89,960.09 and 46,664.51

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Solution

The fourth proportional to 59,978.16, 89,960.09 and 46,664.51 is: 69,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,978.16 : 89,960.09 = 46,664.51 : x
  2. Step 2: Convert to fraction form
    59,978.16/89,960.09 = 46,664.51/x
  3. Step 3: Cross multiply
    59,978.16x = 89,960.09 × 46,664.51
  4. Step 4: Simplify right side
    59,978.16x = 4,197,942,836.28
  5. Step 5: Solve for x
    x = 4,197,942,836.28/59,978.16
  6. Step 6: Final answer
    x = 69,991.19

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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.