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Finding the Fourth Proportional to 29,411.60, 40,588.05 and 15,983.01

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Solution

The fourth proportional to 29,411.60, 40,588.05 and 15,983.01 is: 22,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,411.60 : 40,588.05 = 15,983.01 : x
  2. Step 2: Convert to fraction form
    29,411.60/40,588.05 = 15,983.01/x
  3. Step 3: Cross multiply
    29,411.60x = 40,588.05 × 15,983.01
  4. Step 4: Simplify right side
    29,411.60x = 648,719,209.03
  5. Step 5: Solve for x
    x = 648,719,209.03/29,411.60
  6. Step 6: Final answer
    x = 22,056.58

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Why These Related Problems?

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