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Finding the Fourth Proportional to 48,534.71, 72,802.08 and 27,743.63

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Solution

The fourth proportional to 48,534.71, 72,802.08 and 27,743.63 is: 41,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,534.71 : 72,802.08 = 27,743.63 : x
  2. Step 2: Convert to fraction form
    48,534.71/72,802.08 = 27,743.63/x
  3. Step 3: Cross multiply
    48,534.71x = 72,802.08 × 27,743.63
  4. Step 4: Simplify right side
    48,534.71x = 2,019,793,606.74
  5. Step 5: Solve for x
    x = 2,019,793,606.74/48,534.71
  6. Step 6: Final answer
    x = 41,615.45

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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.