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Finding the Fourth Proportional to 40,725.60, 61,090.29 and 14,433

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Solution

The fourth proportional to 40,725.60, 61,090.29 and 14,433 is: 21,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,725.60 : 61,090.29 = 14,433 : x
  2. Step 2: Convert to fraction form
    40,725.60/61,090.29 = 14,433/x
  3. Step 3: Cross multiply
    40,725.60x = 61,090.29 × 14,433
  4. Step 4: Simplify right side
    40,725.60x = 881,716,155.57
  5. Step 5: Solve for x
    x = 881,716,155.57/40,725.60
  6. Step 6: Final answer
    x = 21,650.17

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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.