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Finding the Fourth Proportional to 40,252.40, 56,470 and 40,252.40

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Solution

The fourth proportional to 40,252.40, 56,470 and 40,252.40 is: 56,470

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,252.40 : 56,470 = 40,252.40 : x
  2. Step 2: Convert to fraction form
    40,252.40/56,470 = 40,252.40/x
  3. Step 3: Cross multiply
    40,252.40x = 56,470 × 40,252.40
  4. Step 4: Simplify right side
    40,252.40x = 2,273,053,028
  5. Step 5: Solve for x
    x = 2,273,053,028/40,252.40
  6. Step 6: Final answer
    x = 56,470

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1.5x scale

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.