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Finding the Fourth Proportional to 30,802.60, 46,139.10 and 25,618.60

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Solution

The fourth proportional to 30,802.60, 46,139.10 and 25,618.60 is: 38,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.60 : 46,139.10 = 25,618.60 : x
  2. Step 2: Convert to fraction form
    30,802.60/46,139.10 = 25,618.60/x
  3. Step 3: Cross multiply
    30,802.60x = 46,139.10 × 25,618.60
  4. Step 4: Simplify right side
    30,802.60x = 1,182,019,147.26
  5. Step 5: Solve for x
    x = 1,182,019,147.26/30,802.60
  6. Step 6: Final answer
    x = 38,374.01

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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.