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Finding the Fourth Proportional to 71,886.51, 107,880.18 and 29,767.32

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Solution

The fourth proportional to 71,886.51, 107,880.18 and 29,767.32 is: 44,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886.51 : 107,880.18 = 29,767.32 : x
  2. Step 2: Convert to fraction form
    71,886.51/107,880.18 = 29,767.32/x
  3. Step 3: Cross multiply
    71,886.51x = 107,880.18 × 29,767.32
  4. Step 4: Simplify right side
    71,886.51x = 3,211,303,681.64
  5. Step 5: Solve for x
    x = 3,211,303,681.64/71,886.51
  6. Step 6: Final answer
    x = 44,671.86

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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.