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Finding the Fourth Proportional to 32,602.97, 48,907.06 and 10,419.50

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Solution

The fourth proportional to 32,602.97, 48,907.06 and 10,419.50 is: 15,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.97 : 48,907.06 = 10,419.50 : x
  2. Step 2: Convert to fraction form
    32,602.97/48,907.06 = 10,419.50/x
  3. Step 3: Cross multiply
    32,602.97x = 48,907.06 × 10,419.50
  4. Step 4: Simplify right side
    32,602.97x = 509,586,841.09
  5. Step 5: Solve for x
    x = 509,586,841.09/32,602.97
  6. Step 6: Final answer
    x = 15,630.08

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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.