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Finding the Fourth Proportional to 53,358, 73,638.36 and 31,006.32

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Solution

The fourth proportional to 53,358, 73,638.36 and 31,006.32 is: 42,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,358 : 73,638.36 = 31,006.32 : x
  2. Step 2: Convert to fraction form
    53,358/73,638.36 = 31,006.32/x
  3. Step 3: Cross multiply
    53,358x = 73,638.36 × 31,006.32
  4. Step 4: Simplify right side
    53,358x = 2,283,254,554.44
  5. Step 5: Solve for x
    x = 2,283,254,554.44/53,358
  6. Step 6: Final answer
    x = 42,791.23

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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.