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Finding the Fourth Proportional to 35,047.16, 48,365.76 and 19,133

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Solution

The fourth proportional to 35,047.16, 48,365.76 and 19,133 is: 26,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,047.16 : 48,365.76 = 19,133 : x
  2. Step 2: Convert to fraction form
    35,047.16/48,365.76 = 19,133/x
  3. Step 3: Cross multiply
    35,047.16x = 48,365.76 × 19,133
  4. Step 4: Simplify right side
    35,047.16x = 925,382,086.08
  5. Step 5: Solve for x
    x = 925,382,086.08/35,047.16
  6. Step 6: Final answer
    x = 26,403.91

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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.