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Finding the Fourth Proportional to 53,706.40, 74,117.06 and 29,833.24

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Solution

The fourth proportional to 53,706.40, 74,117.06 and 29,833.24 is: 41,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706.40 : 74,117.06 = 29,833.24 : x
  2. Step 2: Convert to fraction form
    53,706.40/74,117.06 = 29,833.24/x
  3. Step 3: Cross multiply
    53,706.40x = 74,117.06 × 29,833.24
  4. Step 4: Simplify right side
    53,706.40x = 2,211,152,039.07
  5. Step 5: Solve for x
    x = 2,211,152,039.07/53,706.40
  6. Step 6: Final answer
    x = 41,171.11

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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.