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Finding the Fourth Proportional to 51,703.04, 77,555.04 and 33,248

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Solution

The fourth proportional to 51,703.04, 77,555.04 and 33,248 is: 49,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.04 : 77,555.04 = 33,248 : x
  2. Step 2: Convert to fraction form
    51,703.04/77,555.04 = 33,248/x
  3. Step 3: Cross multiply
    51,703.04x = 77,555.04 × 33,248
  4. Step 4: Simplify right side
    51,703.04x = 2,578,549,969.92
  5. Step 5: Solve for x
    x = 2,578,549,969.92/51,703.04
  6. Step 6: Final answer
    x = 49,872.31

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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.