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Finding the Fourth Proportional to 38,348.67, 52,913 and 22,430.01

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Solution

The fourth proportional to 38,348.67, 52,913 and 22,430.01 is: 30,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348.67 : 52,913 = 22,430.01 : x
  2. Step 2: Convert to fraction form
    38,348.67/52,913 = 22,430.01/x
  3. Step 3: Cross multiply
    38,348.67x = 52,913 × 22,430.01
  4. Step 4: Simplify right side
    38,348.67x = 1,186,839,119.13
  5. Step 5: Solve for x
    x = 1,186,839,119.13/38,348.67
  6. Step 6: Final answer
    x = 30,948.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.