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Finding the Fourth Proportional to 53,707.67, 74,114.07 and 29,835.80

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Solution

The fourth proportional to 53,707.67, 74,114.07 and 29,835.80 is: 41,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,707.67 : 74,114.07 = 29,835.80 : x
  2. Step 2: Convert to fraction form
    53,707.67/74,114.07 = 29,835.80/x
  3. Step 3: Cross multiply
    53,707.67x = 74,114.07 × 29,835.80
  4. Step 4: Simplify right side
    53,707.67x = 2,211,252,569.71
  5. Step 5: Solve for x
    x = 2,211,252,569.71/53,707.67
  6. Step 6: Final answer
    x = 41,172.01

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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.