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Finding the Fourth Proportional to 94,451.81, 130,342.86 and 52,010

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Solution

The fourth proportional to 94,451.81, 130,342.86 and 52,010 is: 71,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,451.81 : 130,342.86 = 52,010 : x
  2. Step 2: Convert to fraction form
    94,451.81/130,342.86 = 52,010/x
  3. Step 3: Cross multiply
    94,451.81x = 130,342.86 × 52,010
  4. Step 4: Simplify right side
    94,451.81x = 6,779,132,148.60
  5. Step 5: Solve for x
    x = 6,779,132,148.60/94,451.81
  6. Step 6: Final answer
    x = 71,773.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.