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Finding the Fourth Proportional to 36,657, 54,985.50 and 13,283.46

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Solution

The fourth proportional to 36,657, 54,985.50 and 13,283.46 is: 19,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,657 : 54,985.50 = 13,283.46 : x
  2. Step 2: Convert to fraction form
    36,657/54,985.50 = 13,283.46/x
  3. Step 3: Cross multiply
    36,657x = 54,985.50 × 13,283.46
  4. Step 4: Simplify right side
    36,657x = 730,397,689.83
  5. Step 5: Solve for x
    x = 730,397,689.83/36,657
  6. Step 6: Final answer
    x = 19,925.19

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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.