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Finding the Fourth Proportional to 35,574.16, 53,362.20 and 9,278.32

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Solution

The fourth proportional to 35,574.16, 53,362.20 and 9,278.32 is: 13,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.16 : 53,362.20 = 9,278.32 : x
  2. Step 2: Convert to fraction form
    35,574.16/53,362.20 = 9,278.32/x
  3. Step 3: Cross multiply
    35,574.16x = 53,362.20 × 9,278.32
  4. Step 4: Simplify right side
    35,574.16x = 495,111,567.50
  5. Step 5: Solve for x
    x = 495,111,567.50/35,574.16
  6. Step 6: Final answer
    x = 13,917.73

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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.