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Finding the Fourth Proportional to 46,651.56, 64,378.76 and 25,430.38

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Solution

The fourth proportional to 46,651.56, 64,378.76 and 25,430.38 is: 35,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,651.56 : 64,378.76 = 25,430.38 : x
  2. Step 2: Convert to fraction form
    46,651.56/64,378.76 = 25,430.38/x
  3. Step 3: Cross multiply
    46,651.56x = 64,378.76 × 25,430.38
  4. Step 4: Simplify right side
    46,651.56x = 1,637,176,330.73
  5. Step 5: Solve for x
    x = 1,637,176,330.73/46,651.56
  6. Step 6: Final answer
    x = 35,093.71

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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.