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Finding the Fourth Proportional to 98,421, 135,828.28 and 55,993.20

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Solution

The fourth proportional to 98,421, 135,828.28 and 55,993.20 is: 77,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,421 : 135,828.28 = 55,993.20 : x
  2. Step 2: Convert to fraction form
    98,421/135,828.28 = 55,993.20/x
  3. Step 3: Cross multiply
    98,421x = 135,828.28 × 55,993.20
  4. Step 4: Simplify right side
    98,421x = 7,605,460,047.70
  5. Step 5: Solve for x
    x = 7,605,460,047.70/98,421
  6. Step 6: Final answer
    x = 77,274.77

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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.