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Finding the Fourth Proportional to 57,830.40, 79,802.10 and 32,678.28

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Solution

The fourth proportional to 57,830.40, 79,802.10 and 32,678.28 is: 45,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,830.40 : 79,802.10 = 32,678.28 : x
  2. Step 2: Convert to fraction form
    57,830.40/79,802.10 = 32,678.28/x
  3. Step 3: Cross multiply
    57,830.40x = 79,802.10 × 32,678.28
  4. Step 4: Simplify right side
    57,830.40x = 2,607,795,368.39
  5. Step 5: Solve for x
    x = 2,607,795,368.39/57,830.40
  6. Step 6: Final answer
    x = 45,093.85

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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.