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Finding the Fourth Proportional to 30,074.07, 45,111.29 and 7,887.24

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Solution

The fourth proportional to 30,074.07, 45,111.29 and 7,887.24 is: 11,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074.07 : 45,111.29 = 7,887.24 : x
  2. Step 2: Convert to fraction form
    30,074.07/45,111.29 = 7,887.24/x
  3. Step 3: Cross multiply
    30,074.07x = 45,111.29 × 7,887.24
  4. Step 4: Simplify right side
    30,074.07x = 355,803,531.50
  5. Step 5: Solve for x
    x = 355,803,531.50/30,074.07
  6. Step 6: Final answer
    x = 11,830.91

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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.