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Finding the Fourth Proportional to 46,729.76, 64,486.88 and 25,509.05

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Solution

The fourth proportional to 46,729.76, 64,486.88 and 25,509.05 is: 35,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,729.76 : 64,486.88 = 25,509.05 : x
  2. Step 2: Convert to fraction form
    46,729.76/64,486.88 = 25,509.05/x
  3. Step 3: Cross multiply
    46,729.76x = 64,486.88 × 25,509.05
  4. Step 4: Simplify right side
    46,729.76x = 1,644,998,723.83
  5. Step 5: Solve for x
    x = 1,644,998,723.83/46,729.76
  6. Step 6: Final answer
    x = 35,202.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.