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Finding the Fourth Proportional to 53,214.76, 73,436.88 and 29,342.38

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Solution

The fourth proportional to 53,214.76, 73,436.88 and 29,342.38 is: 40,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,214.76 : 73,436.88 = 29,342.38 : x
  2. Step 2: Convert to fraction form
    53,214.76/73,436.88 = 29,342.38/x
  3. Step 3: Cross multiply
    53,214.76x = 73,436.88 × 29,342.38
  4. Step 4: Simplify right side
    53,214.76x = 2,154,812,838.97
  5. Step 5: Solve for x
    x = 2,154,812,838.97/53,214.76
  6. Step 6: Final answer
    x = 40,492.77

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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.