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Finding the Fourth Proportional to 30,386.50, 45,578.01 and 9,326.51

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Solution

The fourth proportional to 30,386.50, 45,578.01 and 9,326.51 is: 13,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386.50 : 45,578.01 = 9,326.51 : x
  2. Step 2: Convert to fraction form
    30,386.50/45,578.01 = 9,326.51/x
  3. Step 3: Cross multiply
    30,386.50x = 45,578.01 × 9,326.51
  4. Step 4: Simplify right side
    30,386.50x = 425,083,667.33
  5. Step 5: Solve for x
    x = 425,083,667.33/30,386.50
  6. Step 6: Final answer
    x = 13,989.23

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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.