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Finding the Fourth Proportional to 98,616, 136,090.62 and 53,904

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Solution

The fourth proportional to 98,616, 136,090.62 and 53,904 is: 74,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,616 : 136,090.62 = 53,904 : x
  2. Step 2: Convert to fraction form
    98,616/136,090.62 = 53,904/x
  3. Step 3: Cross multiply
    98,616x = 136,090.62 × 53,904
  4. Step 4: Simplify right side
    98,616x = 7,335,828,780.48
  5. Step 5: Solve for x
    x = 7,335,828,780.48/98,616
  6. Step 6: Final answer
    x = 74,387.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.