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Finding the Fourth Proportional to 56,312.64, 84,414.36 and 31,329.84

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Solution

The fourth proportional to 56,312.64, 84,414.36 and 31,329.84 is: 46,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,312.64 : 84,414.36 = 31,329.84 : x
  2. Step 2: Convert to fraction form
    56,312.64/84,414.36 = 31,329.84/x
  3. Step 3: Cross multiply
    56,312.64x = 84,414.36 × 31,329.84
  4. Step 4: Simplify right side
    56,312.64x = 2,644,688,392.50
  5. Step 5: Solve for x
    x = 2,644,688,392.50/56,312.64
  6. Step 6: Final answer
    x = 46,964.38

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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.