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Finding the Fourth Proportional to 46,913.84, 64,741.65 and 25,694

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Solution

The fourth proportional to 46,913.84, 64,741.65 and 25,694 is: 35,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,913.84 : 64,741.65 = 25,694 : x
  2. Step 2: Convert to fraction form
    46,913.84/64,741.65 = 25,694/x
  3. Step 3: Cross multiply
    46,913.84x = 64,741.65 × 25,694
  4. Step 4: Simplify right side
    46,913.84x = 1,663,471,955.10
  5. Step 5: Solve for x
    x = 1,663,471,955.10/46,913.84
  6. Step 6: Final answer
    x = 35,458.02

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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.