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Finding the Fourth Proportional to 142,421.60, 213,636.72 and 48,926

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Solution

The fourth proportional to 142,421.60, 213,636.72 and 48,926 is: 73,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,421.60 : 213,636.72 = 48,926 : x
  2. Step 2: Convert to fraction form
    142,421.60/213,636.72 = 48,926/x
  3. Step 3: Cross multiply
    142,421.60x = 213,636.72 × 48,926
  4. Step 4: Simplify right side
    142,421.60x = 10,452,390,162.72
  5. Step 5: Solve for x
    x = 10,452,390,162.72/142,421.60
  6. Step 6: Final answer
    x = 73,390.48

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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.