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Finding the Fourth Proportional to 74,382.32, 102,642.72 and 44,166.08

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Solution

The fourth proportional to 74,382.32, 102,642.72 and 44,166.08 is: 60,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,382.32 : 102,642.72 = 44,166.08 : x
  2. Step 2: Convert to fraction form
    74,382.32/102,642.72 = 44,166.08/x
  3. Step 3: Cross multiply
    74,382.32x = 102,642.72 × 44,166.08
  4. Step 4: Simplify right side
    74,382.32x = 4,533,326,582.94
  5. Step 5: Solve for x
    x = 4,533,326,582.94/74,382.32
  6. Step 6: Final answer
    x = 60,946.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.