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Finding the Fourth Proportional to 46,783.10, 70,133.04 and 17,194.02

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Solution

The fourth proportional to 46,783.10, 70,133.04 and 17,194.02 is: 25,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,783.10 : 70,133.04 = 17,194.02 : x
  2. Step 2: Convert to fraction form
    46,783.10/70,133.04 = 17,194.02/x
  3. Step 3: Cross multiply
    46,783.10x = 70,133.04 × 17,194.02
  4. Step 4: Simplify right side
    46,783.10x = 1,205,868,892.42
  5. Step 5: Solve for x
    x = 1,205,868,892.42/46,783.10
  6. Step 6: Final answer
    x = 25,775.74

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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.