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Finding the Fourth Proportional to 106,367.76, 159,465.51 and 39,798.32

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Solution

The fourth proportional to 106,367.76, 159,465.51 and 39,798.32 is: 59,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,367.76 : 159,465.51 = 39,798.32 : x
  2. Step 2: Convert to fraction form
    106,367.76/159,465.51 = 39,798.32/x
  3. Step 3: Cross multiply
    106,367.76x = 159,465.51 × 39,798.32
  4. Step 4: Simplify right side
    106,367.76x = 6,346,458,598.62
  5. Step 5: Solve for x
    x = 6,346,458,598.62/106,367.76
  6. Step 6: Final answer
    x = 59,665.25

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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.