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Finding the Fourth Proportional to 42,077.51, 58,065.69 and 22,957.65

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Solution

The fourth proportional to 42,077.51, 58,065.69 and 22,957.65 is: 31,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,077.51 : 58,065.69 = 22,957.65 : x
  2. Step 2: Convert to fraction form
    42,077.51/58,065.69 = 22,957.65/x
  3. Step 3: Cross multiply
    42,077.51x = 58,065.69 × 22,957.65
  4. Step 4: Simplify right side
    42,077.51x = 1,333,051,788.03
  5. Step 5: Solve for x
    x = 1,333,051,788.03/42,077.51
  6. Step 6: Final answer
    x = 31,680.87

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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.