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Finding the Fourth Proportional to 53,831.80, 74,284.84 and 29,957.32

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Solution

The fourth proportional to 53,831.80, 74,284.84 and 29,957.32 is: 41,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,831.80 : 74,284.84 = 29,957.32 : x
  2. Step 2: Convert to fraction form
    53,831.80/74,284.84 = 29,957.32/x
  3. Step 3: Cross multiply
    53,831.80x = 74,284.84 × 29,957.32
  4. Step 4: Simplify right side
    53,831.80x = 2,225,374,723.03
  5. Step 5: Solve for x
    x = 2,225,374,723.03/53,831.80
  6. Step 6: Final answer
    x = 41,339.41

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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.