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Finding the Fourth Proportional to 84,909.71, 117,176.61 and 46,672.80

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Solution

The fourth proportional to 84,909.71, 117,176.61 and 46,672.80 is: 64,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,909.71 : 117,176.61 = 46,672.80 : x
  2. Step 2: Convert to fraction form
    84,909.71/117,176.61 = 46,672.80/x
  3. Step 3: Cross multiply
    84,909.71x = 117,176.61 × 46,672.80
  4. Step 4: Simplify right side
    84,909.71x = 5,468,960,483.21
  5. Step 5: Solve for x
    x = 5,468,960,483.21/84,909.71
  6. Step 6: Final answer
    x = 64,409.13

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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.