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Finding the Fourth Proportional to 53,411.10, 80,011.05 and 46,844.70

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Solution

The fourth proportional to 53,411.10, 80,011.05 and 46,844.70 is: 70,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,411.10 : 80,011.05 = 46,844.70 : x
  2. Step 2: Convert to fraction form
    53,411.10/80,011.05 = 46,844.70/x
  3. Step 3: Cross multiply
    53,411.10x = 80,011.05 × 46,844.70
  4. Step 4: Simplify right side
    53,411.10x = 3,748,093,633.94
  5. Step 5: Solve for x
    x = 3,748,093,633.94/53,411.10
  6. Step 6: Final answer
    x = 70,174.43

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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.