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Finding the Fourth Proportional to 32,603.10, 48,905.01 and 10,416.30

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Solution

The fourth proportional to 32,603.10, 48,905.01 and 10,416.30 is: 15,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,603.10 : 48,905.01 = 10,416.30 : x
  2. Step 2: Convert to fraction form
    32,603.10/48,905.01 = 10,416.30/x
  3. Step 3: Cross multiply
    32,603.10x = 48,905.01 × 10,416.30
  4. Step 4: Simplify right side
    32,603.10x = 509,409,255.66
  5. Step 5: Solve for x
    x = 509,409,255.66/32,603.10
  6. Step 6: Final answer
    x = 15,624.57

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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.