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Finding the Fourth Proportional to 82,647.42, 114,051.05 and 46,840.74

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Solution

The fourth proportional to 82,647.42, 114,051.05 and 46,840.74 is: 64,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,647.42 : 114,051.05 = 46,840.74 : x
  2. Step 2: Convert to fraction form
    82,647.42/114,051.05 = 46,840.74/x
  3. Step 3: Cross multiply
    82,647.42x = 114,051.05 × 46,840.74
  4. Step 4: Simplify right side
    82,647.42x = 5,342,235,345.57
  5. Step 5: Solve for x
    x = 5,342,235,345.57/82,647.42
  6. Step 6: Final answer
    x = 64,638.86

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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.