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Finding the Fourth Proportional to 116,577.12, 174,831.36 and 45,483.84

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Solution

The fourth proportional to 116,577.12, 174,831.36 and 45,483.84 is: 68,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,577.12 : 174,831.36 = 45,483.84 : x
  2. Step 2: Convert to fraction form
    116,577.12/174,831.36 = 45,483.84/x
  3. Step 3: Cross multiply
    116,577.12x = 174,831.36 × 45,483.84
  4. Step 4: Simplify right side
    116,577.12x = 7,952,001,605.22
  5. Step 5: Solve for x
    x = 7,952,001,605.22/116,577.12
  6. Step 6: Final answer
    x = 68,212.37

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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.