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Finding the Fourth Proportional to 38,075.50, 57,133.23 and 15,602.86

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Solution

The fourth proportional to 38,075.50, 57,133.23 and 15,602.86 is: 23,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075.50 : 57,133.23 = 15,602.86 : x
  2. Step 2: Convert to fraction form
    38,075.50/57,133.23 = 15,602.86/x
  3. Step 3: Cross multiply
    38,075.50x = 57,133.23 × 15,602.86
  4. Step 4: Simplify right side
    38,075.50x = 891,441,789.04
  5. Step 5: Solve for x
    x = 891,441,789.04/38,075.50
  6. Step 6: Final answer
    x = 23,412.48

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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.