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Finding the Fourth Proportional to 45,851.40, 64,114.20 and 45,851.40

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Solution

The fourth proportional to 45,851.40, 64,114.20 and 45,851.40 is: 64,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,851.40 : 64,114.20 = 45,851.40 : x
  2. Step 2: Convert to fraction form
    45,851.40/64,114.20 = 45,851.40/x
  3. Step 3: Cross multiply
    45,851.40x = 64,114.20 × 45,851.40
  4. Step 4: Simplify right side
    45,851.40x = 2,939,725,829.88
  5. Step 5: Solve for x
    x = 2,939,725,829.88/45,851.40
  6. Step 6: Final answer
    x = 64,114.20

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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.