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Finding the Fourth Proportional to 53,536.66, 80,420.87 and 34,807.06

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Solution

The fourth proportional to 53,536.66, 80,420.87 and 34,807.06 is: 52,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,536.66 : 80,420.87 = 34,807.06 : x
  2. Step 2: Convert to fraction form
    53,536.66/80,420.87 = 34,807.06/x
  3. Step 3: Cross multiply
    53,536.66x = 80,420.87 × 34,807.06
  4. Step 4: Simplify right side
    53,536.66x = 2,799,214,047.34
  5. Step 5: Solve for x
    x = 2,799,214,047.34/53,536.66
  6. Step 6: Final answer
    x = 52,285.93

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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.