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Finding the Fourth Proportional to 38,005.30, 57,007.95 and 31,006.90

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Solution

The fourth proportional to 38,005.30, 57,007.95 and 31,006.90 is: 46,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005.30 : 57,007.95 = 31,006.90 : x
  2. Step 2: Convert to fraction form
    38,005.30/57,007.95 = 31,006.90/x
  3. Step 3: Cross multiply
    38,005.30x = 57,007.95 × 31,006.90
  4. Step 4: Simplify right side
    38,005.30x = 1,767,639,804.86
  5. Step 5: Solve for x
    x = 1,767,639,804.86/38,005.30
  6. Step 6: Final answer
    x = 46,510.35

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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.