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Finding the Fourth Proportional to 74,712.34, 103,100.40 and 40,720.16

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Solution

The fourth proportional to 74,712.34, 103,100.40 and 40,720.16 is: 56,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,712.34 : 103,100.40 = 40,720.16 : x
  2. Step 2: Convert to fraction form
    74,712.34/103,100.40 = 40,720.16/x
  3. Step 3: Cross multiply
    74,712.34x = 103,100.40 × 40,720.16
  4. Step 4: Simplify right side
    74,712.34x = 4,198,264,784.06
  5. Step 5: Solve for x
    x = 4,198,264,784.06/74,712.34
  6. Step 6: Final answer
    x = 56,192.39

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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.