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Finding the Fourth Proportional to 32,097.66, 48,157.88 and 14,326.71

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Solution

The fourth proportional to 32,097.66, 48,157.88 and 14,326.71 is: 21,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.66 : 48,157.88 = 14,326.71 : x
  2. Step 2: Convert to fraction form
    32,097.66/48,157.88 = 14,326.71/x
  3. Step 3: Cross multiply
    32,097.66x = 48,157.88 × 14,326.71
  4. Step 4: Simplify right side
    32,097.66x = 689,943,980.97
  5. Step 5: Solve for x
    x = 689,943,980.97/32,097.66
  6. Step 6: Final answer
    x = 21,495.15

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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.