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Finding the Fourth Proportional to 35,956.66, 53,938.24 and 9,660.82

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Solution

The fourth proportional to 35,956.66, 53,938.24 and 9,660.82 is: 14,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,956.66 : 53,938.24 = 9,660.82 : x
  2. Step 2: Convert to fraction form
    35,956.66/53,938.24 = 9,660.82/x
  3. Step 3: Cross multiply
    35,956.66x = 53,938.24 × 9,660.82
  4. Step 4: Simplify right side
    35,956.66x = 521,087,627.76
  5. Step 5: Solve for x
    x = 521,087,627.76/35,956.66
  6. Step 6: Final answer
    x = 14,492.10

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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.