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Finding the Fourth Proportional to 58,928, 81,320.80 and 32,432

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Solution

The fourth proportional to 58,928, 81,320.80 and 32,432 is: 44,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,928 : 81,320.80 = 32,432 : x
  2. Step 2: Convert to fraction form
    58,928/81,320.80 = 32,432/x
  3. Step 3: Cross multiply
    58,928x = 81,320.80 × 32,432
  4. Step 4: Simplify right side
    58,928x = 2,637,396,185.60
  5. Step 5: Solve for x
    x = 2,637,396,185.60/58,928
  6. Step 6: Final answer
    x = 44,756.25

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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.