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Finding the Fourth Proportional to 78,412.84, 117,621.18 and 23,010.60

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Solution

The fourth proportional to 78,412.84, 117,621.18 and 23,010.60 is: 34,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.84 : 117,621.18 = 23,010.60 : x
  2. Step 2: Convert to fraction form
    78,412.84/117,621.18 = 23,010.60/x
  3. Step 3: Cross multiply
    78,412.84x = 117,621.18 × 23,010.60
  4. Step 4: Simplify right side
    78,412.84x = 2,706,533,924.51
  5. Step 5: Solve for x
    x = 2,706,533,924.51/78,412.84
  6. Step 6: Final answer
    x = 34,516.46

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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.