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Finding the Fourth Proportional to 102,386.88, 153,516.96 and 39,984

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Solution

The fourth proportional to 102,386.88, 153,516.96 and 39,984 is: 59,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,386.88 : 153,516.96 = 39,984 : x
  2. Step 2: Convert to fraction form
    102,386.88/153,516.96 = 39,984/x
  3. Step 3: Cross multiply
    102,386.88x = 153,516.96 × 39,984
  4. Step 4: Simplify right side
    102,386.88x = 6,138,222,128.64
  5. Step 5: Solve for x
    x = 6,138,222,128.64/102,386.88
  6. Step 6: Final answer
    x = 59,951.26

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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.