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Finding the Fourth Proportional to 29,295.74, 43,907.06 and 14,290.49

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Solution

The fourth proportional to 29,295.74, 43,907.06 and 14,290.49 is: 21,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,295.74 : 43,907.06 = 14,290.49 : x
  2. Step 2: Convert to fraction form
    29,295.74/43,907.06 = 14,290.49/x
  3. Step 3: Cross multiply
    29,295.74x = 43,907.06 × 14,290.49
  4. Step 4: Simplify right side
    29,295.74x = 627,453,547.35
  5. Step 5: Solve for x
    x = 627,453,547.35/29,295.74
  6. Step 6: Final answer
    x = 21,417.91

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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.