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Finding the Fourth Proportional to 53,397.84, 73,689.50 and 29,199.50

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Solution

The fourth proportional to 53,397.84, 73,689.50 and 29,199.50 is: 40,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,397.84 : 73,689.50 = 29,199.50 : x
  2. Step 2: Convert to fraction form
    53,397.84/73,689.50 = 29,199.50/x
  3. Step 3: Cross multiply
    53,397.84x = 73,689.50 × 29,199.50
  4. Step 4: Simplify right side
    53,397.84x = 2,151,696,555.25
  5. Step 5: Solve for x
    x = 2,151,696,555.25/53,397.84
  6. Step 6: Final answer
    x = 40,295.57

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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.