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Finding the Fourth Proportional to 29,784.80, 44,665.05 and 10,053.20

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Solution

The fourth proportional to 29,784.80, 44,665.05 and 10,053.20 is: 15,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.80 : 44,665.05 = 10,053.20 : x
  2. Step 2: Convert to fraction form
    29,784.80/44,665.05 = 10,053.20/x
  3. Step 3: Cross multiply
    29,784.80x = 44,665.05 × 10,053.20
  4. Step 4: Simplify right side
    29,784.80x = 449,026,680.66
  5. Step 5: Solve for x
    x = 449,026,680.66/29,784.80
  6. Step 6: Final answer
    x = 15,075.70

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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.