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Finding the Fourth Proportional to 70,134.93, 105,216.11 and 25,762.02

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Solution

The fourth proportional to 70,134.93, 105,216.11 and 25,762.02 is: 38,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,134.93 : 105,216.11 = 25,762.02 : x
  2. Step 2: Convert to fraction form
    70,134.93/105,216.11 = 25,762.02/x
  3. Step 3: Cross multiply
    70,134.93x = 105,216.11 × 25,762.02
  4. Step 4: Simplify right side
    70,134.93x = 2,710,579,530.14
  5. Step 5: Solve for x
    x = 2,710,579,530.14/70,134.93
  6. Step 6: Final answer
    x = 38,648.07

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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.