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Finding the Fourth Proportional to 52,641.74, 78,873.50 and 31,821.50

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Solution

The fourth proportional to 52,641.74, 78,873.50 and 31,821.50 is: 47,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,641.74 : 78,873.50 = 31,821.50 : x
  2. Step 2: Convert to fraction form
    52,641.74/78,873.50 = 31,821.50/x
  3. Step 3: Cross multiply
    52,641.74x = 78,873.50 × 31,821.50
  4. Step 4: Simplify right side
    52,641.74x = 2,509,873,080.25
  5. Step 5: Solve for x
    x = 2,509,873,080.25/52,641.74
  6. Step 6: Final answer
    x = 47,678.38

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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.