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Finding the Fourth Proportional to 49,592.89, 74,389.32 and 12,656.89

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Solution

The fourth proportional to 49,592.89, 74,389.32 and 12,656.89 is: 18,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,592.89 : 74,389.32 = 12,656.89 : x
  2. Step 2: Convert to fraction form
    49,592.89/74,389.32 = 12,656.89/x
  3. Step 3: Cross multiply
    49,592.89x = 74,389.32 × 12,656.89
  4. Step 4: Simplify right side
    49,592.89x = 941,537,440.41
  5. Step 5: Solve for x
    x = 941,537,440.41/49,592.89
  6. Step 6: Final answer
    x = 18,985.33

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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.