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Finding the Fourth Proportional to 56,520, 84,795.12 and 19,584

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Solution

The fourth proportional to 56,520, 84,795.12 and 19,584 is: 29,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,520 : 84,795.12 = 19,584 : x
  2. Step 2: Convert to fraction form
    56,520/84,795.12 = 19,584/x
  3. Step 3: Cross multiply
    56,520x = 84,795.12 × 19,584
  4. Step 4: Simplify right side
    56,520x = 1,660,627,630.08
  5. Step 5: Solve for x
    x = 1,660,627,630.08/56,520
  6. Step 6: Final answer
    x = 29,381.24

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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.