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Finding the Fourth Proportional to 38,072.16, 57,080.16 and 14,688

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Solution

The fourth proportional to 38,072.16, 57,080.16 and 14,688 is: 22,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,072.16 : 57,080.16 = 14,688 : x
  2. Step 2: Convert to fraction form
    38,072.16/57,080.16 = 14,688/x
  3. Step 3: Cross multiply
    38,072.16x = 57,080.16 × 14,688
  4. Step 4: Simplify right side
    38,072.16x = 838,393,390.08
  5. Step 5: Solve for x
    x = 838,393,390.08/38,072.16
  6. Step 6: Final answer
    x = 22,021.17

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