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Finding the Fourth Proportional to 62,308, 85,981.84 and 34,008.24

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Solution

The fourth proportional to 62,308, 85,981.84 and 34,008.24 is: 46,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,308 : 85,981.84 = 34,008.24 : x
  2. Step 2: Convert to fraction form
    62,308/85,981.84 = 34,008.24/x
  3. Step 3: Cross multiply
    62,308x = 85,981.84 × 34,008.24
  4. Step 4: Simplify right side
    62,308x = 2,924,091,050.36
  5. Step 5: Solve for x
    x = 2,924,091,050.36/62,308
  6. Step 6: Final answer
    x = 46,929.62

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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.