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Finding the Fourth Proportional to 105,090.99, 157,660.25 and 34,973.07

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Solution

The fourth proportional to 105,090.99, 157,660.25 and 34,973.07 is: 52,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,090.99 : 157,660.25 = 34,973.07 : x
  2. Step 2: Convert to fraction form
    105,090.99/157,660.25 = 34,973.07/x
  3. Step 3: Cross multiply
    105,090.99x = 157,660.25 × 34,973.07
  4. Step 4: Simplify right side
    105,090.99x = 5,513,862,784.60
  5. Step 5: Solve for x
    x = 5,513,862,784.60/105,090.99
  6. Step 6: Final answer
    x = 52,467.51

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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.