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Finding the Fourth Proportional to 56,534.63, 84,840.82 and 19,598.63

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Solution

The fourth proportional to 56,534.63, 84,840.82 and 19,598.63 is: 29,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,534.63 : 84,840.82 = 19,598.63 : x
  2. Step 2: Convert to fraction form
    56,534.63/84,840.82 = 19,598.63/x
  3. Step 3: Cross multiply
    56,534.63x = 84,840.82 × 19,598.63
  4. Step 4: Simplify right side
    56,534.63x = 1,662,763,366.88
  5. Step 5: Solve for x
    x = 1,662,763,366.88/56,534.63
  6. Step 6: Final answer
    x = 29,411.42

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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.