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Finding the Fourth Proportional to 48,530.28, 72,802.59 and 24,851.22

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Solution

The fourth proportional to 48,530.28, 72,802.59 and 24,851.22 is: 37,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,530.28 : 72,802.59 = 24,851.22 : x
  2. Step 2: Convert to fraction form
    48,530.28/72,802.59 = 24,851.22/x
  3. Step 3: Cross multiply
    48,530.28x = 72,802.59 × 24,851.22
  4. Step 4: Simplify right side
    48,530.28x = 1,809,233,180.66
  5. Step 5: Solve for x
    x = 1,809,233,180.66/48,530.28
  6. Step 6: Final answer
    x = 37,280.50

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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.