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Finding the Fourth Proportional to 98,287.86, 135,636.93 and 53,575.86

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Solution

The fourth proportional to 98,287.86, 135,636.93 and 53,575.86 is: 73,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,287.86 : 135,636.93 = 53,575.86 : x
  2. Step 2: Convert to fraction form
    98,287.86/135,636.93 = 53,575.86/x
  3. Step 3: Cross multiply
    98,287.86x = 135,636.93 × 53,575.86
  4. Step 4: Simplify right side
    98,287.86x = 7,266,865,172.51
  5. Step 5: Solve for x
    x = 7,266,865,172.51/98,287.86
  6. Step 6: Final answer
    x = 73,934.51

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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.