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Finding the Fourth Proportional to 94,412.64, 130,290.32 and 51,972

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Solution

The fourth proportional to 94,412.64, 130,290.32 and 51,972 is: 71,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,412.64 : 130,290.32 = 51,972 : x
  2. Step 2: Convert to fraction form
    94,412.64/130,290.32 = 51,972/x
  3. Step 3: Cross multiply
    94,412.64x = 130,290.32 × 51,972
  4. Step 4: Simplify right side
    94,412.64x = 6,771,448,511.04
  5. Step 5: Solve for x
    x = 6,771,448,511.04/94,412.64
  6. Step 6: Final answer
    x = 71,721.84

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