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Finding the Fourth Proportional to 121,705.73, 182,537.54 and 32,938.51

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Solution

The fourth proportional to 121,705.73, 182,537.54 and 32,938.51 is: 49,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,705.73 : 182,537.54 = 32,938.51 : x
  2. Step 2: Convert to fraction form
    121,705.73/182,537.54 = 32,938.51/x
  3. Step 3: Cross multiply
    121,705.73x = 182,537.54 × 32,938.51
  4. Step 4: Simplify right side
    121,705.73x = 6,012,513,509.29
  5. Step 5: Solve for x
    x = 6,012,513,509.29/121,705.73
  6. Step 6: Final answer
    x = 49,402.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.