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Finding the Fourth Proportional to 32,830.40, 46,079.20 and 32,830.40

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Solution

The fourth proportional to 32,830.40, 46,079.20 and 32,830.40 is: 46,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.40 : 46,079.20 = 32,830.40 : x
  2. Step 2: Convert to fraction form
    32,830.40/46,079.20 = 32,830.40/x
  3. Step 3: Cross multiply
    32,830.40x = 46,079.20 × 32,830.40
  4. Step 4: Simplify right side
    32,830.40x = 1,512,798,567.68
  5. Step 5: Solve for x
    x = 1,512,798,567.68/32,830.40
  6. Step 6: Final answer
    x = 46,079.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.