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Finding the Fourth Proportional to 53,702.48, 74,110.76 and 29,828

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Solution

The fourth proportional to 53,702.48, 74,110.76 and 29,828 is: 41,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,702.48 : 74,110.76 = 29,828 : x
  2. Step 2: Convert to fraction form
    53,702.48/74,110.76 = 29,828/x
  3. Step 3: Cross multiply
    53,702.48x = 74,110.76 × 29,828
  4. Step 4: Simplify right side
    53,702.48x = 2,210,575,749.28
  5. Step 5: Solve for x
    x = 2,210,575,749.28/53,702.48
  6. Step 6: Final answer
    x = 41,163.38

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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.