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Finding the Fourth Proportional to 37,565, 56,366.94 and 19,097

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Solution

The fourth proportional to 37,565, 56,366.94 and 19,097 is: 28,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,565 : 56,366.94 = 19,097 : x
  2. Step 2: Convert to fraction form
    37,565/56,366.94 = 19,097/x
  3. Step 3: Cross multiply
    37,565x = 56,366.94 × 19,097
  4. Step 4: Simplify right side
    37,565x = 1,076,439,453.18
  5. Step 5: Solve for x
    x = 1,076,439,453.18/37,565
  6. Step 6: Final answer
    x = 28,655.38

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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.