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Finding the Fourth Proportional to 70,950.36, 97,830.54 and 53,015.16

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Solution

The fourth proportional to 70,950.36, 97,830.54 and 53,015.16 is: 73,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,950.36 : 97,830.54 = 53,015.16 : x
  2. Step 2: Convert to fraction form
    70,950.36/97,830.54 = 53,015.16/x
  3. Step 3: Cross multiply
    70,950.36x = 97,830.54 × 53,015.16
  4. Step 4: Simplify right side
    70,950.36x = 5,186,501,730.99
  5. Step 5: Solve for x
    x = 5,186,501,730.99/70,950.36
  6. Step 6: Final answer
    x = 73,100.43

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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.