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Finding the Fourth Proportional to 46,633.32, 64,352.70 and 25,413

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Solution

The fourth proportional to 46,633.32, 64,352.70 and 25,413 is: 35,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,633.32 : 64,352.70 = 25,413 : x
  2. Step 2: Convert to fraction form
    46,633.32/64,352.70 = 25,413/x
  3. Step 3: Cross multiply
    46,633.32x = 64,352.70 × 25,413
  4. Step 4: Simplify right side
    46,633.32x = 1,635,395,165.10
  5. Step 5: Solve for x
    x = 1,635,395,165.10/46,633.32
  6. Step 6: Final answer
    x = 35,069.24

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