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Finding the Fourth Proportional to 38,547, 53,200.53 and 22,640.22

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Solution

The fourth proportional to 38,547, 53,200.53 and 22,640.22 is: 31,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,547 : 53,200.53 = 22,640.22 : x
  2. Step 2: Convert to fraction form
    38,547/53,200.53 = 22,640.22/x
  3. Step 3: Cross multiply
    38,547x = 53,200.53 × 22,640.22
  4. Step 4: Simplify right side
    38,547x = 1,204,471,703.32
  5. Step 5: Solve for x
    x = 1,204,471,703.32/38,547
  6. Step 6: Final answer
    x = 31,246.83

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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.