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Finding the Fourth Proportional to 96,047.64, 144,054.72 and 43,444.80

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Solution

The fourth proportional to 96,047.64, 144,054.72 and 43,444.80 is: 65,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,047.64 : 144,054.72 = 43,444.80 : x
  2. Step 2: Convert to fraction form
    96,047.64/144,054.72 = 43,444.80/x
  3. Step 3: Cross multiply
    96,047.64x = 144,054.72 × 43,444.80
  4. Step 4: Simplify right side
    96,047.64x = 6,258,428,499.46
  5. Step 5: Solve for x
    x = 6,258,428,499.46/96,047.64
  6. Step 6: Final answer
    x = 65,159.63

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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.