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Finding the Fourth Proportional to 127,782.49, 191,666.80 and 39,029.07

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Solution

The fourth proportional to 127,782.49, 191,666.80 and 39,029.07 is: 58,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,782.49 : 191,666.80 = 39,029.07 : x
  2. Step 2: Convert to fraction form
    127,782.49/191,666.80 = 39,029.07/x
  3. Step 3: Cross multiply
    127,782.49x = 191,666.80 × 39,029.07
  4. Step 4: Simplify right side
    127,782.49x = 7,480,576,953.88
  5. Step 5: Solve for x
    x = 7,480,576,953.88/127,782.49
  6. Step 6: Final answer
    x = 58,541.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.