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Finding the Fourth Proportional to 56,509, 84,763.52 and 19,573

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Solution

The fourth proportional to 56,509, 84,763.52 and 19,573 is: 29,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,509 : 84,763.52 = 19,573 : x
  2. Step 2: Convert to fraction form
    56,509/84,763.52 = 19,573/x
  3. Step 3: Cross multiply
    56,509x = 84,763.52 × 19,573
  4. Step 4: Simplify right side
    56,509x = 1,659,076,376.96
  5. Step 5: Solve for x
    x = 1,659,076,376.96/56,509
  6. Step 6: Final answer
    x = 29,359.51

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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.