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Finding the Fourth Proportional to 53,537.16, 73,880.19 and 29,663.76

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Solution

The fourth proportional to 53,537.16, 73,880.19 and 29,663.76 is: 40,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,537.16 : 73,880.19 = 29,663.76 : x
  2. Step 2: Convert to fraction form
    53,537.16/73,880.19 = 29,663.76/x
  3. Step 3: Cross multiply
    53,537.16x = 73,880.19 × 29,663.76
  4. Step 4: Simplify right side
    53,537.16x = 2,191,564,224.91
  5. Step 5: Solve for x
    x = 2,191,564,224.91/53,537.16
  6. Step 6: Final answer
    x = 40,935.38

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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.