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Finding the Fourth Proportional to 56,702.48, 78,206.64 and 37,548.32

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Solution

The fourth proportional to 56,702.48, 78,206.64 and 37,548.32 is: 51,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702.48 : 78,206.64 = 37,548.32 : x
  2. Step 2: Convert to fraction form
    56,702.48/78,206.64 = 37,548.32/x
  3. Step 3: Cross multiply
    56,702.48x = 78,206.64 × 37,548.32
  4. Step 4: Simplify right side
    56,702.48x = 2,936,527,944.84
  5. Step 5: Solve for x
    x = 2,936,527,944.84/56,702.48
  6. Step 6: Final answer
    x = 51,788.35

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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.