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Finding the Fourth Proportional to 82,585.63, 113,948.53 and 48,595.60

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Solution

The fourth proportional to 82,585.63, 113,948.53 and 48,595.60 is: 67,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,585.63 : 113,948.53 = 48,595.60 : x
  2. Step 2: Convert to fraction form
    82,585.63/113,948.53 = 48,595.60/x
  3. Step 3: Cross multiply
    82,585.63x = 113,948.53 × 48,595.60
  4. Step 4: Simplify right side
    82,585.63x = 5,537,397,184.47
  5. Step 5: Solve for x
    x = 5,537,397,184.47/82,585.63
  6. Step 6: Final answer
    x = 67,050.37

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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.