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Finding the Fourth Proportional to 56,710.12, 78,219.30 and 41,607.40

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Solution

The fourth proportional to 56,710.12, 78,219.30 and 41,607.40 is: 57,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,710.12 : 78,219.30 = 41,607.40 : x
  2. Step 2: Convert to fraction form
    56,710.12/78,219.30 = 41,607.40/x
  3. Step 3: Cross multiply
    56,710.12x = 78,219.30 × 41,607.40
  4. Step 4: Simplify right side
    56,710.12x = 3,254,501,702.82
  5. Step 5: Solve for x
    x = 3,254,501,702.82/56,710.12
  6. Step 6: Final answer
    x = 57,388.38

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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.