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Finding the Fourth Proportional to 56,653, 78,200.58 and 34,297

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Solution

The fourth proportional to 56,653, 78,200.58 and 34,297 is: 47,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,653 : 78,200.58 = 34,297 : x
  2. Step 2: Convert to fraction form
    56,653/78,200.58 = 34,297/x
  3. Step 3: Cross multiply
    56,653x = 78,200.58 × 34,297
  4. Step 4: Simplify right side
    56,653x = 2,682,045,292.26
  5. Step 5: Solve for x
    x = 2,682,045,292.26/56,653
  6. Step 6: Final answer
    x = 47,341.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.