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Finding the Fourth Proportional to 76,307.16, 114,460.74 and 34,725

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Solution

The fourth proportional to 76,307.16, 114,460.74 and 34,725 is: 52,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,307.16 : 114,460.74 = 34,725 : x
  2. Step 2: Convert to fraction form
    76,307.16/114,460.74 = 34,725/x
  3. Step 3: Cross multiply
    76,307.16x = 114,460.74 × 34,725
  4. Step 4: Simplify right side
    76,307.16x = 3,974,649,196.50
  5. Step 5: Solve for x
    x = 3,974,649,196.50/76,307.16
  6. Step 6: Final answer
    x = 52,087.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.