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Finding the Fourth Proportional to 31,075.60, 46,627.80 and 16,301.20

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Solution

The fourth proportional to 31,075.60, 46,627.80 and 16,301.20 is: 24,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.60 : 46,627.80 = 16,301.20 : x
  2. Step 2: Convert to fraction form
    31,075.60/46,627.80 = 16,301.20/x
  3. Step 3: Cross multiply
    31,075.60x = 46,627.80 × 16,301.20
  4. Step 4: Simplify right side
    31,075.60x = 760,089,093.36
  5. Step 5: Solve for x
    x = 760,089,093.36/31,075.60
  6. Step 6: Final answer
    x = 24,459.35

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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.