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Finding the Fourth Proportional to 44,112, 66,176.64 and 19,488

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Solution

The fourth proportional to 44,112, 66,176.64 and 19,488 is: 29,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,112 : 66,176.64 = 19,488 : x
  2. Step 2: Convert to fraction form
    44,112/66,176.64 = 19,488/x
  3. Step 3: Cross multiply
    44,112x = 66,176.64 × 19,488
  4. Step 4: Simplify right side
    44,112x = 1,289,650,360.32
  5. Step 5: Solve for x
    x = 1,289,650,360.32/44,112
  6. Step 6: Final answer
    x = 29,235.82

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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.