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Finding the Fourth Proportional to 37,897.77, 52,303.77 and 31,513.38

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Solution

The fourth proportional to 37,897.77, 52,303.77 and 31,513.38 is: 43,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897.77 : 52,303.77 = 31,513.38 : x
  2. Step 2: Convert to fraction form
    37,897.77/52,303.77 = 31,513.38/x
  3. Step 3: Cross multiply
    37,897.77x = 52,303.77 × 31,513.38
  4. Step 4: Simplify right side
    37,897.77x = 1,648,268,579.44
  5. Step 5: Solve for x
    x = 1,648,268,579.44/37,897.77
  6. Step 6: Final answer
    x = 43,492.50

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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.