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Finding the Fourth Proportional to 30,041.52, 45,062.90 and 9,265

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Solution

The fourth proportional to 30,041.52, 45,062.90 and 9,265 is: 13,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041.52 : 45,062.90 = 9,265 : x
  2. Step 2: Convert to fraction form
    30,041.52/45,062.90 = 9,265/x
  3. Step 3: Cross multiply
    30,041.52x = 45,062.90 × 9,265
  4. Step 4: Simplify right side
    30,041.52x = 417,507,768.50
  5. Step 5: Solve for x
    x = 417,507,768.50/30,041.52
  6. Step 6: Final answer
    x = 13,897.69

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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.