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Finding the Fourth Proportional to 46,974.16, 70,462.50 and 11,916.55

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Solution

The fourth proportional to 46,974.16, 70,462.50 and 11,916.55 is: 17,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,974.16 : 70,462.50 = 11,916.55 : x
  2. Step 2: Convert to fraction form
    46,974.16/70,462.50 = 11,916.55/x
  3. Step 3: Cross multiply
    46,974.16x = 70,462.50 × 11,916.55
  4. Step 4: Simplify right side
    46,974.16x = 839,669,904.38
  5. Step 5: Solve for x
    x = 839,669,904.38/46,974.16
  6. Step 6: Final answer
    x = 17,875.14

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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.