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Finding the Fourth Proportional to 105,916.32, 158,896.35 and 31,038.91

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Solution

The fourth proportional to 105,916.32, 158,896.35 and 31,038.91 is: 46,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,916.32 : 158,896.35 = 31,038.91 : x
  2. Step 2: Convert to fraction form
    105,916.32/158,896.35 = 31,038.91/x
  3. Step 3: Cross multiply
    105,916.32x = 158,896.35 × 31,038.91
  4. Step 4: Simplify right side
    105,916.32x = 4,931,969,109.74
  5. Step 5: Solve for x
    x = 4,931,969,109.74/105,916.32
  6. Step 6: Final answer
    x = 46,564.77

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