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Finding the Fourth Proportional to 106,455.53, 159,656.06 and 31,558.17

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Solution

The fourth proportional to 106,455.53, 159,656.06 and 31,558.17 is: 47,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,455.53 : 159,656.06 = 31,558.17 : x
  2. Step 2: Convert to fraction form
    106,455.53/159,656.06 = 31,558.17/x
  3. Step 3: Cross multiply
    106,455.53x = 159,656.06 × 31,558.17
  4. Step 4: Simplify right side
    106,455.53x = 5,038,452,925.22
  5. Step 5: Solve for x
    x = 5,038,452,925.22/106,455.53
  6. Step 6: Final answer
    x = 47,329.18

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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.