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Finding the Fourth Proportional to 46,927.86, 70,420.95 and 19,225.86

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Solution

The fourth proportional to 46,927.86, 70,420.95 and 19,225.86 is: 28,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,927.86 : 70,420.95 = 19,225.86 : x
  2. Step 2: Convert to fraction form
    46,927.86/70,420.95 = 19,225.86/x
  3. Step 3: Cross multiply
    46,927.86x = 70,420.95 × 19,225.86
  4. Step 4: Simplify right side
    46,927.86x = 1,353,903,325.77
  5. Step 5: Solve for x
    x = 1,353,903,325.77/46,927.86
  6. Step 6: Final answer
    x = 28,850.74

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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.