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Finding the Fourth Proportional to 97,875.70, 146,813.55 and 35,538.10

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Solution

The fourth proportional to 97,875.70, 146,813.55 and 35,538.10 is: 53,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,875.70 : 146,813.55 = 35,538.10 : x
  2. Step 2: Convert to fraction form
    97,875.70/146,813.55 = 35,538.10/x
  3. Step 3: Cross multiply
    97,875.70x = 146,813.55 × 35,538.10
  4. Step 4: Simplify right side
    97,875.70x = 5,217,474,621.26
  5. Step 5: Solve for x
    x = 5,217,474,621.26/97,875.70
  6. Step 6: Final answer
    x = 53,307.15

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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.