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Finding the Fourth Proportional to 103,025.29, 154,560.14 and 31,946.50

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Solution

The fourth proportional to 103,025.29, 154,560.14 and 31,946.50 is: 47,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,025.29 : 154,560.14 = 31,946.50 : x
  2. Step 2: Convert to fraction form
    103,025.29/154,560.14 = 31,946.50/x
  3. Step 3: Cross multiply
    103,025.29x = 154,560.14 × 31,946.50
  4. Step 4: Simplify right side
    103,025.29x = 4,937,655,512.51
  5. Step 5: Solve for x
    x = 4,937,655,512.51/103,025.29
  6. Step 6: Final answer
    x = 47,926.64

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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.