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Finding the Fourth Proportional to 44,477.47, 66,706.56 and 14,085

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Solution

The fourth proportional to 44,477.47, 66,706.56 and 14,085 is: 21,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,477.47 : 66,706.56 = 14,085 : x
  2. Step 2: Convert to fraction form
    44,477.47/66,706.56 = 14,085/x
  3. Step 3: Cross multiply
    44,477.47x = 66,706.56 × 14,085
  4. Step 4: Simplify right side
    44,477.47x = 939,561,897.60
  5. Step 5: Solve for x
    x = 939,561,897.60/44,477.47
  6. Step 6: Final answer
    x = 21,124.45

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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.