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Finding the Fourth Proportional to 102,357.35, 153,536.00 and 39,984.11

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Solution

The fourth proportional to 102,357.35, 153,536.00 and 39,984.11 is: 59,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,357.35 : 153,536.00 = 39,984.11 : x
  2. Step 2: Convert to fraction form
    102,357.35/153,536.00 = 39,984.11/x
  3. Step 3: Cross multiply
    102,357.35x = 153,536.00 × 39,984.11
  4. Step 4: Simplify right side
    102,357.35x = 6,138,999,345.36
  5. Step 5: Solve for x
    x = 6,138,999,345.36/102,357.35
  6. Step 6: Final answer
    x = 59,976.15

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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.