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Finding the Fourth Proportional to 32,602.10, 48,903.51 and 10,415.30

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Solution

The fourth proportional to 32,602.10, 48,903.51 and 10,415.30 is: 15,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.10 : 48,903.51 = 10,415.30 : x
  2. Step 2: Convert to fraction form
    32,602.10/48,903.51 = 10,415.30/x
  3. Step 3: Cross multiply
    32,602.10x = 48,903.51 × 10,415.30
  4. Step 4: Simplify right side
    32,602.10x = 509,344,727.70
  5. Step 5: Solve for x
    x = 509,344,727.70/32,602.10
  6. Step 6: Final answer
    x = 15,623.07

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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.