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Finding the Fourth Proportional to 46,688.91, 64,430.74 and 27,826.03

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Solution

The fourth proportional to 46,688.91, 64,430.74 and 27,826.03 is: 38,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,688.91 : 64,430.74 = 27,826.03 : x
  2. Step 2: Convert to fraction form
    46,688.91/64,430.74 = 27,826.03/x
  3. Step 3: Cross multiply
    46,688.91x = 64,430.74 × 27,826.03
  4. Step 4: Simplify right side
    46,688.91x = 1,792,851,819.48
  5. Step 5: Solve for x
    x = 1,792,851,819.48/46,688.91
  6. Step 6: Final answer
    x = 38,399.95

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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.