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Finding the Fourth Proportional to 27,135.80, 40,703.70 and 7,416.35

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Solution

The fourth proportional to 27,135.80, 40,703.70 and 7,416.35 is: 11,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135.80 : 40,703.70 = 7,416.35 : x
  2. Step 2: Convert to fraction form
    27,135.80/40,703.70 = 7,416.35/x
  3. Step 3: Cross multiply
    27,135.80x = 40,703.70 × 7,416.35
  4. Step 4: Simplify right side
    27,135.80x = 301,872,885.50
  5. Step 5: Solve for x
    x = 301,872,885.50/27,135.80
  6. Step 6: Final answer
    x = 11,124.53

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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.