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Finding the Fourth Proportional to 46,314.84, 69,472.32 and 32,525.40

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Solution

The fourth proportional to 46,314.84, 69,472.32 and 32,525.40 is: 48,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,314.84 : 69,472.32 = 32,525.40 : x
  2. Step 2: Convert to fraction form
    46,314.84/69,472.32 = 32,525.40/x
  3. Step 3: Cross multiply
    46,314.84x = 69,472.32 × 32,525.40
  4. Step 4: Simplify right side
    46,314.84x = 2,259,614,996.93
  5. Step 5: Solve for x
    x = 2,259,614,996.93/46,314.84
  6. Step 6: Final answer
    x = 48,788.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.