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Finding the Fourth Proportional to 35,712.97, 49,303.38 and 23,614.00

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Solution

The fourth proportional to 35,712.97, 49,303.38 and 23,614.00 is: 32,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.97 : 49,303.38 = 23,614.00 : x
  2. Step 2: Convert to fraction form
    35,712.97/49,303.38 = 23,614.00/x
  3. Step 3: Cross multiply
    35,712.97x = 49,303.38 × 23,614.00
  4. Step 4: Simplify right side
    35,712.97x = 1,164,249,980.61
  5. Step 5: Solve for x
    x = 1,164,249,980.61/35,712.97
  6. Step 6: Final answer
    x = 32,600.20

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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.