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Finding the Fourth Proportional to 37,657.95, 56,485.54 and 11,362

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Solution

The fourth proportional to 37,657.95, 56,485.54 and 11,362 is: 17,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.95 : 56,485.54 = 11,362 : x
  2. Step 2: Convert to fraction form
    37,657.95/56,485.54 = 11,362/x
  3. Step 3: Cross multiply
    37,657.95x = 56,485.54 × 11,362
  4. Step 4: Simplify right side
    37,657.95x = 641,788,705.48
  5. Step 5: Solve for x
    x = 641,788,705.48/37,657.95
  6. Step 6: Final answer
    x = 17,042.58

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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.