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Finding the Fourth Proportional to 56,946.62, 85,420.04 and 19,507.00

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Solution

The fourth proportional to 56,946.62, 85,420.04 and 19,507.00 is: 29,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,946.62 : 85,420.04 = 19,507.00 : x
  2. Step 2: Convert to fraction form
    56,946.62/85,420.04 = 19,507.00/x
  3. Step 3: Cross multiply
    56,946.62x = 85,420.04 × 19,507.00
  4. Step 4: Simplify right side
    56,946.62x = 1,666,288,974.19
  5. Step 5: Solve for x
    x = 1,666,288,974.19/56,946.62
  6. Step 6: Final answer
    x = 29,260.54

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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.