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Finding the Fourth Proportional to 102,465.72, 153,692.96 and 39,316.14

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Solution

The fourth proportional to 102,465.72, 153,692.96 and 39,316.14 is: 58,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,465.72 : 153,692.96 = 39,316.14 : x
  2. Step 2: Convert to fraction form
    102,465.72/153,692.96 = 39,316.14/x
  3. Step 3: Cross multiply
    102,465.72x = 153,692.96 × 39,316.14
  4. Step 4: Simplify right side
    102,465.72x = 6,042,613,932.37
  5. Step 5: Solve for x
    x = 6,042,613,932.37/102,465.72
  6. Step 6: Final answer
    x = 58,972.05

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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.