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Finding the Fourth Proportional to 98,246.42, 135,583.18 and 55,802.42

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Solution

The fourth proportional to 98,246.42, 135,583.18 and 55,802.42 is: 77,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,246.42 : 135,583.18 = 55,802.42 : x
  2. Step 2: Convert to fraction form
    98,246.42/135,583.18 = 55,802.42/x
  3. Step 3: Cross multiply
    98,246.42x = 135,583.18 × 55,802.42
  4. Step 4: Simplify right side
    98,246.42x = 7,565,869,555.30
  5. Step 5: Solve for x
    x = 7,565,869,555.30/98,246.42
  6. Step 6: Final answer
    x = 77,009.11

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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.