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Finding the Fourth Proportional to 74,509.50, 102,827.14 and 42,677.30

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Solution

The fourth proportional to 74,509.50, 102,827.14 and 42,677.30 is: 58,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,509.50 : 102,827.14 = 42,677.30 : x
  2. Step 2: Convert to fraction form
    74,509.50/102,827.14 = 42,677.30/x
  3. Step 3: Cross multiply
    74,509.50x = 102,827.14 × 42,677.30
  4. Step 4: Simplify right side
    74,509.50x = 4,388,384,701.92
  5. Step 5: Solve for x
    x = 4,388,384,701.92/74,509.50
  6. Step 6: Final answer
    x = 58,896.98

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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.