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Finding the Fourth Proportional to 98,521.13, 135,962.40 and 53,809.13

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Solution

The fourth proportional to 98,521.13, 135,962.40 and 53,809.13 is: 74,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,521.13 : 135,962.40 = 53,809.13 : x
  2. Step 2: Convert to fraction form
    98,521.13/135,962.40 = 53,809.13/x
  3. Step 3: Cross multiply
    98,521.13x = 135,962.40 × 53,809.13
  4. Step 4: Simplify right side
    98,521.13x = 7,316,017,776.90
  5. Step 5: Solve for x
    x = 7,316,017,776.90/98,521.13
  6. Step 6: Final answer
    x = 74,258.37

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