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Finding the Fourth Proportional to 102,602.85, 153,903.60 and 27,730.47

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Solution

The fourth proportional to 102,602.85, 153,903.60 and 27,730.47 is: 41,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,602.85 : 153,903.60 = 27,730.47 : x
  2. Step 2: Convert to fraction form
    102,602.85/153,903.60 = 27,730.47/x
  3. Step 3: Cross multiply
    102,602.85x = 153,903.60 × 27,730.47
  4. Step 4: Simplify right side
    102,602.85x = 4,267,819,162.69
  5. Step 5: Solve for x
    x = 4,267,819,162.69/102,602.85
  6. Step 6: Final answer
    x = 41,595.52

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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.