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Finding the Fourth Proportional to 57,075.50, 78,764.28 and 31,925

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Solution

The fourth proportional to 57,075.50, 78,764.28 and 31,925 is: 44,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,075.50 : 78,764.28 = 31,925 : x
  2. Step 2: Convert to fraction form
    57,075.50/78,764.28 = 31,925/x
  3. Step 3: Cross multiply
    57,075.50x = 78,764.28 × 31,925
  4. Step 4: Simplify right side
    57,075.50x = 2,514,549,639
  5. Step 5: Solve for x
    x = 2,514,549,639/57,075.50
  6. Step 6: Final answer
    x = 44,056.55

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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.