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Finding the Fourth Proportional to 37,858.34, 56,751.37 and 14,159.48

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Solution

The fourth proportional to 37,858.34, 56,751.37 and 14,159.48 is: 21,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858.34 : 56,751.37 = 14,159.48 : x
  2. Step 2: Convert to fraction form
    37,858.34/56,751.37 = 14,159.48/x
  3. Step 3: Cross multiply
    37,858.34x = 56,751.37 × 14,159.48
  4. Step 4: Simplify right side
    37,858.34x = 803,569,569.33
  5. Step 5: Solve for x
    x = 803,569,569.33/37,858.34
  6. Step 6: Final answer
    x = 21,225.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.