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Finding the Fourth Proportional to 38,477.16, 57,650.10 and 31,085.10

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Solution

The fourth proportional to 38,477.16, 57,650.10 and 31,085.10 is: 46,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.16 : 57,650.10 = 31,085.10 : x
  2. Step 2: Convert to fraction form
    38,477.16/57,650.10 = 31,085.10/x
  3. Step 3: Cross multiply
    38,477.16x = 57,650.10 × 31,085.10
  4. Step 4: Simplify right side
    38,477.16x = 1,792,059,123.51
  5. Step 5: Solve for x
    x = 1,792,059,123.51/38,477.16
  6. Step 6: Final answer
    x = 46,574.62

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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.