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Finding the Fourth Proportional to 98,292.48, 135,644 and 55,853.32

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Solution

The fourth proportional to 98,292.48, 135,644 and 55,853.32 is: 77,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,292.48 : 135,644 = 55,853.32 : x
  2. Step 2: Convert to fraction form
    98,292.48/135,644 = 55,853.32/x
  3. Step 3: Cross multiply
    98,292.48x = 135,644 × 55,853.32
  4. Step 4: Simplify right side
    98,292.48x = 7,576,167,738.08
  5. Step 5: Solve for x
    x = 7,576,167,738.08/98,292.48
  6. Step 6: Final answer
    x = 77,077.80

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1.5x scale

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.