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Finding the Fourth Proportional to 38,828.46, 53,583 and 22,061.46

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Solution

The fourth proportional to 38,828.46, 53,583 and 22,061.46 is: 30,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,828.46 : 53,583 = 22,061.46 : x
  2. Step 2: Convert to fraction form
    38,828.46/53,583 = 22,061.46/x
  3. Step 3: Cross multiply
    38,828.46x = 53,583 × 22,061.46
  4. Step 4: Simplify right side
    38,828.46x = 1,182,119,211.18
  5. Step 5: Solve for x
    x = 1,182,119,211.18/38,828.46
  6. Step 6: Final answer
    x = 30,444.66

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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.