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Finding the Fourth Proportional to 97,643.45, 134,742.54 and 54,614.63

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Solution

The fourth proportional to 97,643.45, 134,742.54 and 54,614.63 is: 75,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,643.45 : 134,742.54 = 54,614.63 : x
  2. Step 2: Convert to fraction form
    97,643.45/134,742.54 = 54,614.63/x
  3. Step 3: Cross multiply
    97,643.45x = 134,742.54 × 54,614.63
  4. Step 4: Simplify right side
    97,643.45x = 7,358,914,509.02
  5. Step 5: Solve for x
    x = 7,358,914,509.02/97,643.45
  6. Step 6: Final answer
    x = 75,365.16

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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.