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Finding the Fourth Proportional to 37,897.57, 56,852.38 and 12,597.98

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Solution

The fourth proportional to 37,897.57, 56,852.38 and 12,597.98 is: 18,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897.57 : 56,852.38 = 12,597.98 : x
  2. Step 2: Convert to fraction form
    37,897.57/56,852.38 = 12,597.98/x
  3. Step 3: Cross multiply
    37,897.57x = 56,852.38 × 12,597.98
  4. Step 4: Simplify right side
    37,897.57x = 716,225,197.47
  5. Step 5: Solve for x
    x = 716,225,197.47/37,897.57
  6. Step 6: Final answer
    x = 18,898.97

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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.