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Finding the Fourth Proportional to 98,636, 136,117.68 and 53,924

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Solution

The fourth proportional to 98,636, 136,117.68 and 53,924 is: 74,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,636 : 136,117.68 = 53,924 : x
  2. Step 2: Convert to fraction form
    98,636/136,117.68 = 53,924/x
  3. Step 3: Cross multiply
    98,636x = 136,117.68 × 53,924
  4. Step 4: Simplify right side
    98,636x = 7,340,009,776.32
  5. Step 5: Solve for x
    x = 7,340,009,776.32/98,636
  6. Step 6: Final answer
    x = 74,415.12

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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.