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Finding the Fourth Proportional to 32,423, 48,649.14 and 18,572

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Solution

The fourth proportional to 32,423, 48,649.14 and 18,572 is: 27,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,423 : 48,649.14 = 18,572 : x
  2. Step 2: Convert to fraction form
    32,423/48,649.14 = 18,572/x
  3. Step 3: Cross multiply
    32,423x = 48,649.14 × 18,572
  4. Step 4: Simplify right side
    32,423x = 903,511,828.08
  5. Step 5: Solve for x
    x = 903,511,828.08/32,423
  6. Step 6: Final answer
    x = 27,866.39

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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.