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Finding the Fourth Proportional to 42,854.22, 64,296.72 and 19,159.74

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Solution

The fourth proportional to 42,854.22, 64,296.72 and 19,159.74 is: 28,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,854.22 : 64,296.72 = 19,159.74 : x
  2. Step 2: Convert to fraction form
    42,854.22/64,296.72 = 19,159.74/x
  3. Step 3: Cross multiply
    42,854.22x = 64,296.72 × 19,159.74
  4. Step 4: Simplify right side
    42,854.22x = 1,231,908,438.05
  5. Step 5: Solve for x
    x = 1,231,908,438.05/42,854.22
  6. Step 6: Final answer
    x = 28,746.49

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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.