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Finding the Fourth Proportional to 38,075.08, 52,543.74 and 21,307

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Solution

The fourth proportional to 38,075.08, 52,543.74 and 21,307 is: 29,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075.08 : 52,543.74 = 21,307 : x
  2. Step 2: Convert to fraction form
    38,075.08/52,543.74 = 21,307/x
  3. Step 3: Cross multiply
    38,075.08x = 52,543.74 × 21,307
  4. Step 4: Simplify right side
    38,075.08x = 1,119,549,468.18
  5. Step 5: Solve for x
    x = 1,119,549,468.18/38,075.08
  6. Step 6: Final answer
    x = 29,403.73

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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.