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Finding the Fourth Proportional to 35,300.76, 53,024.99 and 29,764.95

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Solution

The fourth proportional to 35,300.76, 53,024.99 and 29,764.95 is: 44,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,300.76 : 53,024.99 = 29,764.95 : x
  2. Step 2: Convert to fraction form
    35,300.76/53,024.99 = 29,764.95/x
  3. Step 3: Cross multiply
    35,300.76x = 53,024.99 × 29,764.95
  4. Step 4: Simplify right side
    35,300.76x = 1,578,286,027.28
  5. Step 5: Solve for x
    x = 1,578,286,027.28/35,300.76
  6. Step 6: Final answer
    x = 44,709.69

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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.