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Finding the Fourth Proportional to 78,602.33, 117,867.30 and 25,284.46

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Solution

The fourth proportional to 78,602.33, 117,867.30 and 25,284.46 is: 37,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,602.33 : 117,867.30 = 25,284.46 : x
  2. Step 2: Convert to fraction form
    78,602.33/117,867.30 = 25,284.46/x
  3. Step 3: Cross multiply
    78,602.33x = 117,867.30 × 25,284.46
  4. Step 4: Simplify right side
    78,602.33x = 2,980,211,032.16
  5. Step 5: Solve for x
    x = 2,980,211,032.16/78,602.33
  6. Step 6: Final answer
    x = 37,915.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.