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Finding the Fourth Proportional to 51,666.50, 77,500.47 and 14,730.50

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Solution

The fourth proportional to 51,666.50, 77,500.47 and 14,730.50 is: 22,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,666.50 : 77,500.47 = 14,730.50 : x
  2. Step 2: Convert to fraction form
    51,666.50/77,500.47 = 14,730.50/x
  3. Step 3: Cross multiply
    51,666.50x = 77,500.47 × 14,730.50
  4. Step 4: Simplify right side
    51,666.50x = 1,141,620,673.34
  5. Step 5: Solve for x
    x = 1,141,620,673.34/51,666.50
  6. Step 6: Final answer
    x = 22,095.96

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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.