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Finding the Fourth Proportional to 52,752.84, 72,798.84 and 28,879.98

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Solution

The fourth proportional to 52,752.84, 72,798.84 and 28,879.98 is: 39,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,752.84 : 72,798.84 = 28,879.98 : x
  2. Step 2: Convert to fraction form
    52,752.84/72,798.84 = 28,879.98/x
  3. Step 3: Cross multiply
    52,752.84x = 72,798.84 × 28,879.98
  4. Step 4: Simplify right side
    52,752.84x = 2,102,429,043.22
  5. Step 5: Solve for x
    x = 2,102,429,043.22/52,752.84
  6. Step 6: Final answer
    x = 39,854.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.