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Finding the Fourth Proportional to 70,949.60, 97,829.16 and 53,014.40

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Solution

The fourth proportional to 70,949.60, 97,829.16 and 53,014.40 is: 73,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,949.60 : 97,829.16 = 53,014.40 : x
  2. Step 2: Convert to fraction form
    70,949.60/97,829.16 = 53,014.40/x
  3. Step 3: Cross multiply
    70,949.60x = 97,829.16 × 53,014.40
  4. Step 4: Simplify right side
    70,949.60x = 5,186,354,219.90
  5. Step 5: Solve for x
    x = 5,186,354,219.90/70,949.60
  6. Step 6: Final answer
    x = 73,099.13

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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.