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Finding the Fourth Proportional to 35,574.88, 53,363.76 and 13,385.92

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Solution

The fourth proportional to 35,574.88, 53,363.76 and 13,385.92 is: 20,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.88 : 53,363.76 = 13,385.92 : x
  2. Step 2: Convert to fraction form
    35,574.88/53,363.76 = 13,385.92/x
  3. Step 3: Cross multiply
    35,574.88x = 53,363.76 × 13,385.92
  4. Step 4: Simplify right side
    35,574.88x = 714,323,022.26
  5. Step 5: Solve for x
    x = 714,323,022.26/35,574.88
  6. Step 6: Final answer
    x = 20,079.42

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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.