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Finding the Fourth Proportional to 48,693.84, 73,051.68 and 15,415.84

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Solution

The fourth proportional to 48,693.84, 73,051.68 and 15,415.84 is: 23,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,693.84 : 73,051.68 = 15,415.84 : x
  2. Step 2: Convert to fraction form
    48,693.84/73,051.68 = 15,415.84/x
  3. Step 3: Cross multiply
    48,693.84x = 73,051.68 × 15,415.84
  4. Step 4: Simplify right side
    48,693.84x = 1,126,153,010.61
  5. Step 5: Solve for x
    x = 1,126,153,010.61/48,693.84
  6. Step 6: Final answer
    x = 23,127.22

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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.