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Finding the Fourth Proportional to 78,622.04, 108,496.86 and 42,812.48

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Solution

The fourth proportional to 78,622.04, 108,496.86 and 42,812.48 is: 59,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,622.04 : 108,496.86 = 42,812.48 : x
  2. Step 2: Convert to fraction form
    78,622.04/108,496.86 = 42,812.48/x
  3. Step 3: Cross multiply
    78,622.04x = 108,496.86 × 42,812.48
  4. Step 4: Simplify right side
    78,622.04x = 4,645,019,648.81
  5. Step 5: Solve for x
    x = 4,645,019,648.81/78,622.04
  6. Step 6: Final answer
    x = 59,080.38

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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.