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Finding the Fourth Proportional to 46,805.94, 70,146.81 and 20,482.02

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Solution

The fourth proportional to 46,805.94, 70,146.81 and 20,482.02 is: 30,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,805.94 : 70,146.81 = 20,482.02 : x
  2. Step 2: Convert to fraction form
    46,805.94/70,146.81 = 20,482.02/x
  3. Step 3: Cross multiply
    46,805.94x = 70,146.81 × 20,482.02
  4. Step 4: Simplify right side
    46,805.94x = 1,436,748,365.36
  5. Step 5: Solve for x
    x = 1,436,748,365.36/46,805.94
  6. Step 6: Final answer
    x = 30,695.86

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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.