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Finding the Fourth Proportional to 30,564.51, 45,831.65 and 10,840.11

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Solution

The fourth proportional to 30,564.51, 45,831.65 and 10,840.11 is: 16,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.51 : 45,831.65 = 10,840.11 : x
  2. Step 2: Convert to fraction form
    30,564.51/45,831.65 = 10,840.11/x
  3. Step 3: Cross multiply
    30,564.51x = 45,831.65 × 10,840.11
  4. Step 4: Simplify right side
    30,564.51x = 496,820,073.28
  5. Step 5: Solve for x
    x = 496,820,073.28/30,564.51
  6. Step 6: Final answer
    x = 16,254.80

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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.