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Finding the Fourth Proportional to 82,369.92, 113,669.64 and 46,070.98

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Solution

The fourth proportional to 82,369.92, 113,669.64 and 46,070.98 is: 63,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,369.92 : 113,669.64 = 46,070.98 : x
  2. Step 2: Convert to fraction form
    82,369.92/113,669.64 = 46,070.98/x
  3. Step 3: Cross multiply
    82,369.92x = 113,669.64 × 46,070.98
  4. Step 4: Simplify right side
    82,369.92x = 5,236,871,711.05
  5. Step 5: Solve for x
    x = 5,236,871,711.05/82,369.92
  6. Step 6: Final answer
    x = 63,577.48

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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.