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Finding the Fourth Proportional to 82,482.34, 113,825.65 and 46,671.64

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Solution

The fourth proportional to 82,482.34, 113,825.65 and 46,671.64 is: 64,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,482.34 : 113,825.65 = 46,671.64 : x
  2. Step 2: Convert to fraction form
    82,482.34/113,825.65 = 46,671.64/x
  3. Step 3: Cross multiply
    82,482.34x = 113,825.65 × 46,671.64
  4. Step 4: Simplify right side
    82,482.34x = 5,312,429,759.57
  5. Step 5: Solve for x
    x = 5,312,429,759.57/82,482.34
  6. Step 6: Final answer
    x = 64,406.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.