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Finding the Fourth Proportional to 57,225.14, 85,833.95 and 19,776.50

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Solution

The fourth proportional to 57,225.14, 85,833.95 and 19,776.50 is: 29,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,225.14 : 85,833.95 = 19,776.50 : x
  2. Step 2: Convert to fraction form
    57,225.14/85,833.95 = 19,776.50/x
  3. Step 3: Cross multiply
    57,225.14x = 85,833.95 × 19,776.50
  4. Step 4: Simplify right side
    57,225.14x = 1,697,495,112.18
  5. Step 5: Solve for x
    x = 1,697,495,112.18/57,225.14
  6. Step 6: Final answer
    x = 29,663.45

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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.