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Finding the Fourth Proportional to 31,888.40, 47,810.95 and 17,858.07

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Solution

The fourth proportional to 31,888.40, 47,810.95 and 17,858.07 is: 26,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.40 : 47,810.95 = 17,858.07 : x
  2. Step 2: Convert to fraction form
    31,888.40/47,810.95 = 17,858.07/x
  3. Step 3: Cross multiply
    31,888.40x = 47,810.95 × 17,858.07
  4. Step 4: Simplify right side
    31,888.40x = 853,811,247.22
  5. Step 5: Solve for x
    x = 853,811,247.22/31,888.40
  6. Step 6: Final answer
    x = 26,774.98

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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.