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Finding the Fourth Proportional to 76,547, 114,835.08 and 34,994

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Solution

The fourth proportional to 76,547, 114,835.08 and 34,994 is: 52,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,547 : 114,835.08 = 34,994 : x
  2. Step 2: Convert to fraction form
    76,547/114,835.08 = 34,994/x
  3. Step 3: Cross multiply
    76,547x = 114,835.08 × 34,994
  4. Step 4: Simplify right side
    76,547x = 4,018,538,789.52
  5. Step 5: Solve for x
    x = 4,018,538,789.52/76,547
  6. Step 6: Final answer
    x = 52,497.67

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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.