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Finding the Fourth Proportional to 31,000.16, 42,779.86 and 16,852.68

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Solution

The fourth proportional to 31,000.16, 42,779.86 and 16,852.68 is: 23,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.16 : 42,779.86 = 16,852.68 : x
  2. Step 2: Convert to fraction form
    31,000.16/42,779.86 = 16,852.68/x
  3. Step 3: Cross multiply
    31,000.16x = 42,779.86 × 16,852.68
  4. Step 4: Simplify right side
    31,000.16x = 720,955,291.02
  5. Step 5: Solve for x
    x = 720,955,291.02/31,000.16
  6. Step 6: Final answer
    x = 23,256.50

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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.