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Finding the Fourth Proportional to 35,686.60, 49,271.70 and 31,897.69

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Solution

The fourth proportional to 35,686.60, 49,271.70 and 31,897.69 is: 44,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,686.60 : 49,271.70 = 31,897.69 : x
  2. Step 2: Convert to fraction form
    35,686.60/49,271.70 = 31,897.69/x
  3. Step 3: Cross multiply
    35,686.60x = 49,271.70 × 31,897.69
  4. Step 4: Simplify right side
    35,686.60x = 1,571,653,412.37
  5. Step 5: Solve for x
    x = 1,571,653,412.37/35,686.60
  6. Step 6: Final answer
    x = 44,040.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.