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Finding the Fourth Proportional to 84,813.84, 117,038.53 and 47,085.66

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Solution

The fourth proportional to 84,813.84, 117,038.53 and 47,085.66 is: 64,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,813.84 : 117,038.53 = 47,085.66 : x
  2. Step 2: Convert to fraction form
    84,813.84/117,038.53 = 47,085.66/x
  3. Step 3: Cross multiply
    84,813.84x = 117,038.53 × 47,085.66
  4. Step 4: Simplify right side
    84,813.84x = 5,510,836,312.77
  5. Step 5: Solve for x
    x = 5,510,836,312.77/84,813.84
  6. Step 6: Final answer
    x = 64,975.67

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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.