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Finding the Fourth Proportional to 82,547.84, 113,915.04 and 48,578.24

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Solution

The fourth proportional to 82,547.84, 113,915.04 and 48,578.24 is: 67,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,547.84 : 113,915.04 = 48,578.24 : x
  2. Step 2: Convert to fraction form
    82,547.84/113,915.04 = 48,578.24/x
  3. Step 3: Cross multiply
    82,547.84x = 113,915.04 × 48,578.24
  4. Step 4: Simplify right side
    82,547.84x = 5,533,792,152.73
  5. Step 5: Solve for x
    x = 5,533,792,152.73/82,547.84
  6. Step 6: Final answer
    x = 67,037.39

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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.