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Finding the Fourth Proportional to 30,532.94, 45,816.42 and 16,492.66

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Solution

The fourth proportional to 30,532.94, 45,816.42 and 16,492.66 is: 24,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.94 : 45,816.42 = 16,492.66 : x
  2. Step 2: Convert to fraction form
    30,532.94/45,816.42 = 16,492.66/x
  3. Step 3: Cross multiply
    30,532.94x = 45,816.42 × 16,492.66
  4. Step 4: Simplify right side
    30,532.94x = 755,634,637.48
  5. Step 5: Solve for x
    x = 755,634,637.48/30,532.94
  6. Step 6: Final answer
    x = 24,748.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.