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Finding the Fourth Proportional to 20,045.23, 30,078.22 and 14,543.98

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Solution

The fourth proportional to 20,045.23, 30,078.22 and 14,543.98 is: 21,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.23 : 30,078.22 = 14,543.98 : x
  2. Step 2: Convert to fraction form
    20,045.23/30,078.22 = 14,543.98/x
  3. Step 3: Cross multiply
    20,045.23x = 30,078.22 × 14,543.98
  4. Step 4: Simplify right side
    20,045.23x = 437,457,030.12
  5. Step 5: Solve for x
    x = 437,457,030.12/20,045.23
  6. Step 6: Final answer
    x = 21,823.50

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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.