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Finding the Fourth Proportional to 85,248, 117,646.29 and 47,522.25

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Solution

The fourth proportional to 85,248, 117,646.29 and 47,522.25 is: 65,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,248 : 117,646.29 = 47,522.25 : x
  2. Step 2: Convert to fraction form
    85,248/117,646.29 = 47,522.25/x
  3. Step 3: Cross multiply
    85,248x = 117,646.29 × 47,522.25
  4. Step 4: Simplify right side
    85,248x = 5,590,816,404.95
  5. Step 5: Solve for x
    x = 5,590,816,404.95/85,248
  6. Step 6: Final answer
    x = 65,582.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.