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Finding the Fourth Proportional to 32,999, 45,538.86 and 18,095

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Solution

The fourth proportional to 32,999, 45,538.86 and 18,095 is: 24,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,999 : 45,538.86 = 18,095 : x
  2. Step 2: Convert to fraction form
    32,999/45,538.86 = 18,095/x
  3. Step 3: Cross multiply
    32,999x = 45,538.86 × 18,095
  4. Step 4: Simplify right side
    32,999x = 824,025,671.70
  5. Step 5: Solve for x
    x = 824,025,671.70/32,999
  6. Step 6: Final answer
    x = 24,971.23

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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.