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Finding the Fourth Proportional to 82,348.76, 113,641.68 and 44,623

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Solution

The fourth proportional to 82,348.76, 113,641.68 and 44,623 is: 61,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,348.76 : 113,641.68 = 44,623 : x
  2. Step 2: Convert to fraction form
    82,348.76/113,641.68 = 44,623/x
  3. Step 3: Cross multiply
    82,348.76x = 113,641.68 × 44,623
  4. Step 4: Simplify right side
    82,348.76x = 5,071,032,686.64
  5. Step 5: Solve for x
    x = 5,071,032,686.64/82,348.76
  6. Step 6: Final answer
    x = 61,579.95

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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.