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Finding the Fourth Proportional to 98,072.58, 147,094.29 and 35,728.50

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Solution

The fourth proportional to 98,072.58, 147,094.29 and 35,728.50 is: 53,587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,072.58 : 147,094.29 = 35,728.50 : x
  2. Step 2: Convert to fraction form
    98,072.58/147,094.29 = 35,728.50/x
  3. Step 3: Cross multiply
    98,072.58x = 147,094.29 × 35,728.50
  4. Step 4: Simplify right side
    98,072.58x = 5,255,458,340.27
  5. Step 5: Solve for x
    x = 5,255,458,340.27/98,072.58
  6. Step 6: Final answer
    x = 53,587.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.