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Finding the Fourth Proportional to 35,492.46, 53,250.84 and 15,784.76

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Solution

The fourth proportional to 35,492.46, 53,250.84 and 15,784.76 is: 23,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,492.46 : 53,250.84 = 15,784.76 : x
  2. Step 2: Convert to fraction form
    35,492.46/53,250.84 = 15,784.76/x
  3. Step 3: Cross multiply
    35,492.46x = 53,250.84 × 15,784.76
  4. Step 4: Simplify right side
    35,492.46x = 840,551,462.94
  5. Step 5: Solve for x
    x = 840,551,462.94/35,492.46
  6. Step 6: Final answer
    x = 23,682.54

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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.