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Finding the Fourth Proportional to 102,083.34, 153,168.93 and 35,487.21

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Solution

The fourth proportional to 102,083.34, 153,168.93 and 35,487.21 is: 53,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,083.34 : 153,168.93 = 35,487.21 : x
  2. Step 2: Convert to fraction form
    102,083.34/153,168.93 = 35,487.21/x
  3. Step 3: Cross multiply
    102,083.34x = 153,168.93 × 35,487.21
  4. Step 4: Simplify right side
    102,083.34x = 5,435,537,984.39
  5. Step 5: Solve for x
    x = 5,435,537,984.39/102,083.34
  6. Step 6: Final answer
    x = 53,246.08

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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.