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Finding the Fourth Proportional to 70,153.48, 105,235.68 and 23,406.32

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Solution

The fourth proportional to 70,153.48, 105,235.68 and 23,406.32 is: 35,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,153.48 : 105,235.68 = 23,406.32 : x
  2. Step 2: Convert to fraction form
    70,153.48/105,235.68 = 23,406.32/x
  3. Step 3: Cross multiply
    70,153.48x = 105,235.68 × 23,406.32
  4. Step 4: Simplify right side
    70,153.48x = 2,463,180,001.50
  5. Step 5: Solve for x
    x = 2,463,180,001.50/70,153.48
  6. Step 6: Final answer
    x = 35,111.30

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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.