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Finding the Fourth Proportional to 70,830.22, 97,746.06 and 40,616.68

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Solution

The fourth proportional to 70,830.22, 97,746.06 and 40,616.68 is: 56,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,830.22 : 97,746.06 = 40,616.68 : x
  2. Step 2: Convert to fraction form
    70,830.22/97,746.06 = 40,616.68/x
  3. Step 3: Cross multiply
    70,830.22x = 97,746.06 × 40,616.68
  4. Step 4: Simplify right side
    70,830.22x = 3,970,120,440.28
  5. Step 5: Solve for x
    x = 3,970,120,440.28/70,830.22
  6. Step 6: Final answer
    x = 56,051.22

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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.