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Finding the Fourth Proportional to 32,643, 48,814.98 and 24,328.80

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Solution

The fourth proportional to 32,643, 48,814.98 and 24,328.80 is: 36,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,643 : 48,814.98 = 24,328.80 : x
  2. Step 2: Convert to fraction form
    32,643/48,814.98 = 24,328.80/x
  3. Step 3: Cross multiply
    32,643x = 48,814.98 × 24,328.80
  4. Step 4: Simplify right side
    32,643x = 1,187,609,885.42
  5. Step 5: Solve for x
    x = 1,187,609,885.42/32,643
  6. Step 6: Final answer
    x = 36,381.76

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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.