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Finding the Fourth Proportional to 51,803.00, 77,704.65 and 42,507.34

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Solution

The fourth proportional to 51,803.00, 77,704.65 and 42,507.34 is: 63,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803.00 : 77,704.65 = 42,507.34 : x
  2. Step 2: Convert to fraction form
    51,803.00/77,704.65 = 42,507.34/x
  3. Step 3: Cross multiply
    51,803.00x = 77,704.65 × 42,507.34
  4. Step 4: Simplify right side
    51,803.00x = 3,303,017,782.87
  5. Step 5: Solve for x
    x = 3,303,017,782.87/51,803.00
  6. Step 6: Final answer
    x = 63,761.13

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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.