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Finding the Fourth Proportional to 32,347, 44,637.78 and 18,199

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Solution

The fourth proportional to 32,347, 44,637.78 and 18,199 is: 25,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,347 : 44,637.78 = 18,199 : x
  2. Step 2: Convert to fraction form
    32,347/44,637.78 = 18,199/x
  3. Step 3: Cross multiply
    32,347x = 44,637.78 × 18,199
  4. Step 4: Simplify right side
    32,347x = 812,362,958.22
  5. Step 5: Solve for x
    x = 812,362,958.22/32,347
  6. Step 6: Final answer
    x = 25,114.01

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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.