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Finding the Fourth Proportional to 73,985, 102,099.30 and 47,535.08

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Solution

The fourth proportional to 73,985, 102,099.30 and 47,535.08 is: 65,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,985 : 102,099.30 = 47,535.08 : x
  2. Step 2: Convert to fraction form
    73,985/102,099.30 = 47,535.08/x
  3. Step 3: Cross multiply
    73,985x = 102,099.30 × 47,535.08
  4. Step 4: Simplify right side
    73,985x = 4,853,298,393.44
  5. Step 5: Solve for x
    x = 4,853,298,393.44/73,985
  6. Step 6: Final answer
    x = 65,598.41

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1.5x scale

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.