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Finding the Fourth Proportional to 82,452.50, 113,784.48 and 46,641.74

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Solution

The fourth proportional to 82,452.50, 113,784.48 and 46,641.74 is: 64,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,452.50 : 113,784.48 = 46,641.74 : x
  2. Step 2: Convert to fraction form
    82,452.50/113,784.48 = 46,641.74/x
  3. Step 3: Cross multiply
    82,452.50x = 113,784.48 × 46,641.74
  4. Step 4: Simplify right side
    82,452.50x = 5,307,106,416.66
  5. Step 5: Solve for x
    x = 5,307,106,416.66/82,452.50
  6. Step 6: Final answer
    x = 64,365.63

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1.5x scale

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.