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Finding the Fourth Proportional to 58,768, 88,112.84 and 21,323.21

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Solution

The fourth proportional to 58,768, 88,112.84 and 21,323.21 is: 31,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,768 : 88,112.84 = 21,323.21 : x
  2. Step 2: Convert to fraction form
    58,768/88,112.84 = 21,323.21/x
  3. Step 3: Cross multiply
    58,768x = 88,112.84 × 21,323.21
  4. Step 4: Simplify right side
    58,768x = 1,878,848,591.02
  5. Step 5: Solve for x
    x = 1,878,848,591.02/58,768
  6. Step 6: Final answer
    x = 31,970.61

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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.