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Finding the Fourth Proportional to 29,696.58, 44,547.06 and 9,975

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Solution

The fourth proportional to 29,696.58, 44,547.06 and 9,975 is: 14,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.58 : 44,547.06 = 9,975 : x
  2. Step 2: Convert to fraction form
    29,696.58/44,547.06 = 9,975/x
  3. Step 3: Cross multiply
    29,696.58x = 44,547.06 × 9,975
  4. Step 4: Simplify right side
    29,696.58x = 444,356,923.50
  5. Step 5: Solve for x
    x = 444,356,923.50/29,696.58
  6. Step 6: Final answer
    x = 14,963.24

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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.