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Finding the Fourth Proportional to 49,843.64, 74,779.90 and 14,784.14

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Solution

The fourth proportional to 49,843.64, 74,779.90 and 14,784.14 is: 22,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,843.64 : 74,779.90 = 14,784.14 : x
  2. Step 2: Convert to fraction form
    49,843.64/74,779.90 = 14,784.14/x
  3. Step 3: Cross multiply
    49,843.64x = 74,779.90 × 14,784.14
  4. Step 4: Simplify right side
    49,843.64x = 1,105,556,510.79
  5. Step 5: Solve for x
    x = 1,105,556,510.79/49,843.64
  6. Step 6: Final answer
    x = 22,180.49

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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.