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Finding the Fourth Proportional to 53,875.67, 74,348.01 and 31,214.17

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Solution

The fourth proportional to 53,875.67, 74,348.01 and 31,214.17 is: 43,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,875.67 : 74,348.01 = 31,214.17 : x
  2. Step 2: Convert to fraction form
    53,875.67/74,348.01 = 31,214.17/x
  3. Step 3: Cross multiply
    53,875.67x = 74,348.01 × 31,214.17
  4. Step 4: Simplify right side
    53,875.67x = 2,320,711,516.24
  5. Step 5: Solve for x
    x = 2,320,711,516.24/53,875.67
  6. Step 6: Final answer
    x = 43,075.32

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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.