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Finding the Fourth Proportional to 46,062.80, 69,084 and 16,482.64

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Solution

The fourth proportional to 46,062.80, 69,084 and 16,482.64 is: 24,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,062.80 : 69,084 = 16,482.64 : x
  2. Step 2: Convert to fraction form
    46,062.80/69,084 = 16,482.64/x
  3. Step 3: Cross multiply
    46,062.80x = 69,084 × 16,482.64
  4. Step 4: Simplify right side
    46,062.80x = 1,138,686,701.76
  5. Step 5: Solve for x
    x = 1,138,686,701.76/46,062.80
  6. Step 6: Final answer
    x = 24,720.31

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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.