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Finding the Fourth Proportional to 82,668.60, 114,077.57 and 46,368.05

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Solution

The fourth proportional to 82,668.60, 114,077.57 and 46,368.05 is: 63,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,668.60 : 114,077.57 = 46,368.05 : x
  2. Step 2: Convert to fraction form
    82,668.60/114,077.57 = 46,368.05/x
  3. Step 3: Cross multiply
    82,668.60x = 114,077.57 × 46,368.05
  4. Step 4: Simplify right side
    82,668.60x = 5,289,553,667.41
  5. Step 5: Solve for x
    x = 5,289,553,667.41/82,668.60
  6. Step 6: Final answer
    x = 63,985.04

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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.