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Finding the Fourth Proportional to 97,681.68, 146,484.18 and 34,488.32

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Solution

The fourth proportional to 97,681.68, 146,484.18 and 34,488.32 is: 51,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,681.68 : 146,484.18 = 34,488.32 : x
  2. Step 2: Convert to fraction form
    97,681.68/146,484.18 = 34,488.32/x
  3. Step 3: Cross multiply
    97,681.68x = 146,484.18 × 34,488.32
  4. Step 4: Simplify right side
    97,681.68x = 5,051,992,542.36
  5. Step 5: Solve for x
    x = 5,051,992,542.36/97,681.68
  6. Step 6: Final answer
    x = 51,718.94

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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.