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Finding the Fourth Proportional to 78,258.06, 117,384.98 and 22,102.07

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Solution

The fourth proportional to 78,258.06, 117,384.98 and 22,102.07 is: 33,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,258.06 : 117,384.98 = 22,102.07 : x
  2. Step 2: Convert to fraction form
    78,258.06/117,384.98 = 22,102.07/x
  3. Step 3: Cross multiply
    78,258.06x = 117,384.98 × 22,102.07
  4. Step 4: Simplify right side
    78,258.06x = 2,594,450,347.47
  5. Step 5: Solve for x
    x = 2,594,450,347.47/78,258.06
  6. Step 6: Final answer
    x = 33,152.50

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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.