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Finding the Fourth Proportional to 31,403.68, 46,901.12 and 28,137.76

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Solution

The fourth proportional to 31,403.68, 46,901.12 and 28,137.76 is: 42,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403.68 : 46,901.12 = 28,137.76 : x
  2. Step 2: Convert to fraction form
    31,403.68/46,901.12 = 28,137.76/x
  3. Step 3: Cross multiply
    31,403.68x = 46,901.12 × 28,137.76
  4. Step 4: Simplify right side
    31,403.68x = 1,319,692,458.29
  5. Step 5: Solve for x
    x = 1,319,692,458.29/31,403.68
  6. Step 6: Final answer
    x = 42,023.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.