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Finding the Fourth Proportional to 46,564.86, 64,257.65 and 25,344.12

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Solution

The fourth proportional to 46,564.86, 64,257.65 and 25,344.12 is: 34,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,564.86 : 64,257.65 = 25,344.12 : x
  2. Step 2: Convert to fraction form
    46,564.86/64,257.65 = 25,344.12/x
  3. Step 3: Cross multiply
    46,564.86x = 64,257.65 × 25,344.12
  4. Step 4: Simplify right side
    46,564.86x = 1,628,553,465.80
  5. Step 5: Solve for x
    x = 1,628,553,465.80/46,564.86
  6. Step 6: Final answer
    x = 34,973.87

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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.