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Finding the Fourth Proportional to 97,643.93, 134,746.84 and 55,202.47

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Solution

The fourth proportional to 97,643.93, 134,746.84 and 55,202.47 is: 76,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,643.93 : 134,746.84 = 55,202.47 : x
  2. Step 2: Convert to fraction form
    97,643.93/134,746.84 = 55,202.47/x
  3. Step 3: Cross multiply
    97,643.93x = 134,746.84 × 55,202.47
  4. Step 4: Simplify right side
    97,643.93x = 7,438,358,392.69
  5. Step 5: Solve for x
    x = 7,438,358,392.69/97,643.93
  6. Step 6: Final answer
    x = 76,178.40

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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.