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Finding the Fourth Proportional to 46,706.68, 70,058.06 and 21,738.14

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Solution

The fourth proportional to 46,706.68, 70,058.06 and 21,738.14 is: 32,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,706.68 : 70,058.06 = 21,738.14 : x
  2. Step 2: Convert to fraction form
    46,706.68/70,058.06 = 21,738.14/x
  3. Step 3: Cross multiply
    46,706.68x = 70,058.06 × 21,738.14
  4. Step 4: Simplify right side
    46,706.68x = 1,522,931,916.41
  5. Step 5: Solve for x
    x = 1,522,931,916.41/46,706.68
  6. Step 6: Final answer
    x = 32,606.30

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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.