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Finding the Fourth Proportional to 53,306.50, 73,569.45 and 30,950.50

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Solution

The fourth proportional to 53,306.50, 73,569.45 and 30,950.50 is: 42,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,306.50 : 73,569.45 = 30,950.50 : x
  2. Step 2: Convert to fraction form
    53,306.50/73,569.45 = 30,950.50/x
  3. Step 3: Cross multiply
    53,306.50x = 73,569.45 × 30,950.50
  4. Step 4: Simplify right side
    53,306.50x = 2,277,011,262.23
  5. Step 5: Solve for x
    x = 2,277,011,262.23/53,306.50
  6. Step 6: Final answer
    x = 42,715.45

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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.