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Finding the Fourth Proportional to 53,702.94, 74,110.03 and 29,831.84

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Solution

The fourth proportional to 53,702.94, 74,110.03 and 29,831.84 is: 41,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,702.94 : 74,110.03 = 29,831.84 : x
  2. Step 2: Convert to fraction form
    53,702.94/74,110.03 = 29,831.84/x
  3. Step 3: Cross multiply
    53,702.94x = 74,110.03 × 29,831.84
  4. Step 4: Simplify right side
    53,702.94x = 2,210,838,112.23
  5. Step 5: Solve for x
    x = 2,210,838,112.23/53,702.94
  6. Step 6: Final answer
    x = 41,167.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.