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Finding the Fourth Proportional to 30,085.70, 45,144.95 and 13,445.06

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Solution

The fourth proportional to 30,085.70, 45,144.95 and 13,445.06 is: 20,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085.70 : 45,144.95 = 13,445.06 : x
  2. Step 2: Convert to fraction form
    30,085.70/45,144.95 = 13,445.06/x
  3. Step 3: Cross multiply
    30,085.70x = 45,144.95 × 13,445.06
  4. Step 4: Simplify right side
    30,085.70x = 606,976,268.50
  5. Step 5: Solve for x
    x = 606,976,268.50/30,085.70
  6. Step 6: Final answer
    x = 20,174.91

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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.