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Finding the Fourth Proportional to 78,308.70, 108,084.54 and 46,495.95

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Solution

The fourth proportional to 78,308.70, 108,084.54 and 46,495.95 is: 64,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,308.70 : 108,084.54 = 46,495.95 : x
  2. Step 2: Convert to fraction form
    78,308.70/108,084.54 = 46,495.95/x
  3. Step 3: Cross multiply
    78,308.70x = 108,084.54 × 46,495.95
  4. Step 4: Simplify right side
    78,308.70x = 5,025,492,827.19
  5. Step 5: Solve for x
    x = 5,025,492,827.19/78,308.70
  6. Step 6: Final answer
    x = 64,175.41

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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.