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Finding the Fourth Proportional to 30,492.96, 45,711.74 and 13,844.01

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Solution

The fourth proportional to 30,492.96, 45,711.74 and 13,844.01 is: 20,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.96 : 45,711.74 = 13,844.01 : x
  2. Step 2: Convert to fraction form
    30,492.96/45,711.74 = 13,844.01/x
  3. Step 3: Cross multiply
    30,492.96x = 45,711.74 × 13,844.01
  4. Step 4: Simplify right side
    30,492.96x = 632,833,991.71
  5. Step 5: Solve for x
    x = 632,833,991.71/30,492.96
  6. Step 6: Final answer
    x = 20,753.45

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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.