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Finding the Fourth Proportional to 32,005.84, 48,043.84 and 13,299.16

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Solution

The fourth proportional to 32,005.84, 48,043.84 and 13,299.16 is: 19,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.84 : 48,043.84 = 13,299.16 : x
  2. Step 2: Convert to fraction form
    32,005.84/48,043.84 = 13,299.16/x
  3. Step 3: Cross multiply
    32,005.84x = 48,043.84 × 13,299.16
  4. Step 4: Simplify right side
    32,005.84x = 638,942,715.17
  5. Step 5: Solve for x
    x = 638,942,715.17/32,005.84
  6. Step 6: Final answer
    x = 19,963.32

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1.5x scale

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.