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Finding the Fourth Proportional to 53,050.92, 73,211.04 and 30,389.76

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Solution

The fourth proportional to 53,050.92, 73,211.04 and 30,389.76 is: 41,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,050.92 : 73,211.04 = 30,389.76 : x
  2. Step 2: Convert to fraction form
    53,050.92/73,211.04 = 30,389.76/x
  3. Step 3: Cross multiply
    53,050.92x = 73,211.04 × 30,389.76
  4. Step 4: Simplify right side
    53,050.92x = 2,224,865,934.95
  5. Step 5: Solve for x
    x = 2,224,865,934.95/53,050.92
  6. Step 6: Final answer
    x = 41,938.31

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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.