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Finding the Fourth Proportional to 46,653.64, 70,020.90 and 24,482.68

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Solution

The fourth proportional to 46,653.64, 70,020.90 and 24,482.68 is: 36,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,653.64 : 70,020.90 = 24,482.68 : x
  2. Step 2: Convert to fraction form
    46,653.64/70,020.90 = 24,482.68/x
  3. Step 3: Cross multiply
    46,653.64x = 70,020.90 × 24,482.68
  4. Step 4: Simplify right side
    46,653.64x = 1,714,299,288.01
  5. Step 5: Solve for x
    x = 1,714,299,288.01/46,653.64
  6. Step 6: Final answer
    x = 36,745.24

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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.