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Finding the Fourth Proportional to 189,188.47, 283,774.50 and 47,030.77

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Solution

The fourth proportional to 189,188.47, 283,774.50 and 47,030.77 is: 70,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,188.47 : 283,774.50 = 47,030.77 : x
  2. Step 2: Convert to fraction form
    189,188.47/283,774.50 = 47,030.77/x
  3. Step 3: Cross multiply
    189,188.47x = 283,774.50 × 47,030.77
  4. Step 4: Simplify right side
    189,188.47x = 13,346,132,531.93
  5. Step 5: Solve for x
    x = 13,346,132,531.93/189,188.47
  6. Step 6: Final answer
    x = 70,544.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.