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Finding the Fourth Proportional to 29,875.34, 44,819.75 and 9,884.78

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Solution

The fourth proportional to 29,875.34, 44,819.75 and 9,884.78 is: 14,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,875.34 : 44,819.75 = 9,884.78 : x
  2. Step 2: Convert to fraction form
    29,875.34/44,819.75 = 9,884.78/x
  3. Step 3: Cross multiply
    29,875.34x = 44,819.75 × 9,884.78
  4. Step 4: Simplify right side
    29,875.34x = 443,033,368.41
  5. Step 5: Solve for x
    x = 443,033,368.41/29,875.34
  6. Step 6: Final answer
    x = 14,829.40

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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.