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Finding the Fourth Proportional to 82,347.84, 123,521.76 and 47,297.52

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Solution

The fourth proportional to 82,347.84, 123,521.76 and 47,297.52 is: 70,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,347.84 : 123,521.76 = 47,297.52 : x
  2. Step 2: Convert to fraction form
    82,347.84/123,521.76 = 47,297.52/x
  3. Step 3: Cross multiply
    82,347.84x = 123,521.76 × 47,297.52
  4. Step 4: Simplify right side
    82,347.84x = 5,842,272,914.04
  5. Step 5: Solve for x
    x = 5,842,272,914.04/82,347.84
  6. Step 6: Final answer
    x = 70,946.28

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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.