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Finding the Fourth Proportional to 65,827.82, 98,235.54 and 58,829.42

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Solution

The fourth proportional to 65,827.82, 98,235.54 and 58,829.42 is: 87,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,827.82 : 98,235.54 = 58,829.42 : x
  2. Step 2: Convert to fraction form
    65,827.82/98,235.54 = 58,829.42/x
  3. Step 3: Cross multiply
    65,827.82x = 98,235.54 × 58,829.42
  4. Step 4: Simplify right side
    65,827.82x = 5,779,139,547.44
  5. Step 5: Solve for x
    x = 5,779,139,547.44/65,827.82
  6. Step 6: Final answer
    x = 87,791.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.