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Finding the Fourth Proportional to 56,364.54, 77,657.82 and 37,210.20

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Solution

The fourth proportional to 56,364.54, 77,657.82 and 37,210.20 is: 51,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,364.54 : 77,657.82 = 37,210.20 : x
  2. Step 2: Convert to fraction form
    56,364.54/77,657.82 = 37,210.20/x
  3. Step 3: Cross multiply
    56,364.54x = 77,657.82 × 37,210.20
  4. Step 4: Simplify right side
    56,364.54x = 2,889,663,013.76
  5. Step 5: Solve for x
    x = 2,889,663,013.76/56,364.54
  6. Step 6: Final answer
    x = 51,267.39

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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.