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Finding the Fourth Proportional to 104,646.67, 156,970.02 and 30,774.67

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Solution

The fourth proportional to 104,646.67, 156,970.02 and 30,774.67 is: 46,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,646.67 : 156,970.02 = 30,774.67 : x
  2. Step 2: Convert to fraction form
    104,646.67/156,970.02 = 30,774.67/x
  3. Step 3: Cross multiply
    104,646.67x = 156,970.02 × 30,774.67
  4. Step 4: Simplify right side
    104,646.67x = 4,830,700,565.39
  5. Step 5: Solve for x
    x = 4,830,700,565.39/104,646.67
  6. Step 6: Final answer
    x = 46,162.01

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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.