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Finding the Fourth Proportional to 42,710.40, 64,046.40 and 16,406.40

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Solution

The fourth proportional to 42,710.40, 64,046.40 and 16,406.40 is: 24,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,710.40 : 64,046.40 = 16,406.40 : x
  2. Step 2: Convert to fraction form
    42,710.40/64,046.40 = 16,406.40/x
  3. Step 3: Cross multiply
    42,710.40x = 64,046.40 × 16,406.40
  4. Step 4: Simplify right side
    42,710.40x = 1,050,770,856.96
  5. Step 5: Solve for x
    x = 1,050,770,856.96/42,710.40
  6. Step 6: Final answer
    x = 24,602.22

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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.