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Finding the Fourth Proportional to 46,649.29, 64,376.69 and 25,428.56

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Solution

The fourth proportional to 46,649.29, 64,376.69 and 25,428.56 is: 35,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,649.29 : 64,376.69 = 25,428.56 : x
  2. Step 2: Convert to fraction form
    46,649.29/64,376.69 = 25,428.56/x
  3. Step 3: Cross multiply
    46,649.29x = 64,376.69 × 25,428.56
  4. Step 4: Simplify right side
    46,649.29x = 1,637,006,202.38
  5. Step 5: Solve for x
    x = 1,637,006,202.38/46,649.29
  6. Step 6: Final answer
    x = 35,091.77

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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.