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Finding the Fourth Proportional to 97,483.46, 146,195.40 and 41,322.50

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Solution

The fourth proportional to 97,483.46, 146,195.40 and 41,322.50 is: 61,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,483.46 : 146,195.40 = 41,322.50 : x
  2. Step 2: Convert to fraction form
    97,483.46/146,195.40 = 41,322.50/x
  3. Step 3: Cross multiply
    97,483.46x = 146,195.40 × 41,322.50
  4. Step 4: Simplify right side
    97,483.46x = 6,041,159,416.50
  5. Step 5: Solve for x
    x = 6,041,159,416.50/97,483.46
  6. Step 6: Final answer
    x = 61,971.12

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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.