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Finding the Fourth Proportional to 51,666, 77,499.72 and 14,730

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Solution

The fourth proportional to 51,666, 77,499.72 and 14,730 is: 22,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,666 : 77,499.72 = 14,730 : x
  2. Step 2: Convert to fraction form
    51,666/77,499.72 = 14,730/x
  3. Step 3: Cross multiply
    51,666x = 77,499.72 × 14,730
  4. Step 4: Simplify right side
    51,666x = 1,141,570,875.60
  5. Step 5: Solve for x
    x = 1,141,570,875.60/51,666
  6. Step 6: Final answer
    x = 22,095.21

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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.