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Finding the Fourth Proportional to 97,176.49, 134,097.65 and 53,567.13

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Solution

The fourth proportional to 97,176.49, 134,097.65 and 53,567.13 is: 73,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,176.49 : 134,097.65 = 53,567.13 : x
  2. Step 2: Convert to fraction form
    97,176.49/134,097.65 = 53,567.13/x
  3. Step 3: Cross multiply
    97,176.49x = 134,097.65 × 53,567.13
  4. Step 4: Simplify right side
    97,176.49x = 7,183,225,881.30
  5. Step 5: Solve for x
    x = 7,183,225,881.30/97,176.49
  6. Step 6: Final answer
    x = 73,919.38

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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.