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Finding the Fourth Proportional to 31,907.95, 47,875.59 and 13,201.58

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Solution

The fourth proportional to 31,907.95, 47,875.59 and 13,201.58 is: 19,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.95 : 47,875.59 = 13,201.58 : x
  2. Step 2: Convert to fraction form
    31,907.95/47,875.59 = 13,201.58/x
  3. Step 3: Cross multiply
    31,907.95x = 47,875.59 × 13,201.58
  4. Step 4: Simplify right side
    31,907.95x = 632,033,606.82
  5. Step 5: Solve for x
    x = 632,033,606.82/31,907.95
  6. Step 6: Final answer
    x = 19,808.03

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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.