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Finding the Fourth Proportional to 46,632.19, 64,352.31 and 25,411.42

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Solution

The fourth proportional to 46,632.19, 64,352.31 and 25,411.42 is: 35,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,632.19 : 64,352.31 = 25,411.42 : x
  2. Step 2: Convert to fraction form
    46,632.19/64,352.31 = 25,411.42/x
  3. Step 3: Cross multiply
    46,632.19x = 64,352.31 × 25,411.42
  4. Step 4: Simplify right side
    46,632.19x = 1,635,283,577.38
  5. Step 5: Solve for x
    x = 1,635,283,577.38/46,632.19
  6. Step 6: Final answer
    x = 35,067.70

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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.