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Finding the Fourth Proportional to 51,317.76, 70,824.32 and 28,960

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Solution

The fourth proportional to 51,317.76, 70,824.32 and 28,960 is: 39,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,317.76 : 70,824.32 = 28,960 : x
  2. Step 2: Convert to fraction form
    51,317.76/70,824.32 = 28,960/x
  3. Step 3: Cross multiply
    51,317.76x = 70,824.32 × 28,960
  4. Step 4: Simplify right side
    51,317.76x = 2,051,072,307.20
  5. Step 5: Solve for x
    x = 2,051,072,307.20/51,317.76
  6. Step 6: Final answer
    x = 39,968.08

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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.