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Finding the Fourth Proportional to 53,702.52, 74,111.82 and 29,831.42

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Solution

The fourth proportional to 53,702.52, 74,111.82 and 29,831.42 is: 41,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,702.52 : 74,111.82 = 29,831.42 : x
  2. Step 2: Convert to fraction form
    53,702.52/74,111.82 = 29,831.42/x
  3. Step 3: Cross multiply
    53,702.52x = 74,111.82 × 29,831.42
  4. Step 4: Simplify right side
    53,702.52x = 2,210,860,829.38
  5. Step 5: Solve for x
    x = 2,210,860,829.38/53,702.52
  6. Step 6: Final answer
    x = 41,168.66

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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.