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Finding the Fourth Proportional to 46,683.70, 69,916.20 and 31,812.10

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Solution

The fourth proportional to 46,683.70, 69,916.20 and 31,812.10 is: 47,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,683.70 : 69,916.20 = 31,812.10 : x
  2. Step 2: Convert to fraction form
    46,683.70/69,916.20 = 31,812.10/x
  3. Step 3: Cross multiply
    46,683.70x = 69,916.20 × 31,812.10
  4. Step 4: Simplify right side
    46,683.70x = 2,224,181,146.02
  5. Step 5: Solve for x
    x = 2,224,181,146.02/46,683.70
  6. Step 6: Final answer
    x = 47,643.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.