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Finding the Fourth Proportional to 130,055.12, 195,060.52 and 36,539

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Solution

The fourth proportional to 130,055.12, 195,060.52 and 36,539 is: 54,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,055.12 : 195,060.52 = 36,539 : x
  2. Step 2: Convert to fraction form
    130,055.12/195,060.52 = 36,539/x
  3. Step 3: Cross multiply
    130,055.12x = 195,060.52 × 36,539
  4. Step 4: Simplify right side
    130,055.12x = 7,127,316,340.28
  5. Step 5: Solve for x
    x = 7,127,316,340.28/130,055.12
  6. Step 6: Final answer
    x = 54,802.27

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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.