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Finding the Fourth Proportional to 98,703.36, 147,985.92 and 36,357.12

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Solution

The fourth proportional to 98,703.36, 147,985.92 and 36,357.12 is: 54,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,703.36 : 147,985.92 = 36,357.12 : x
  2. Step 2: Convert to fraction form
    98,703.36/147,985.92 = 36,357.12/x
  3. Step 3: Cross multiply
    98,703.36x = 147,985.92 × 36,357.12
  4. Step 4: Simplify right side
    98,703.36x = 5,380,341,851.75
  5. Step 5: Solve for x
    x = 5,380,341,851.75/98,703.36
  6. Step 6: Final answer
    x = 54,510.22

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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.