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Finding the Fourth Proportional to 53,701.84, 74,082.84 and 37,795.12

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Solution

The fourth proportional to 53,701.84, 74,082.84 and 37,795.12 is: 52,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,701.84 : 74,082.84 = 37,795.12 : x
  2. Step 2: Convert to fraction form
    53,701.84/74,082.84 = 37,795.12/x
  3. Step 3: Cross multiply
    53,701.84x = 74,082.84 × 37,795.12
  4. Step 4: Simplify right side
    53,701.84x = 2,799,969,827.74
  5. Step 5: Solve for x
    x = 2,799,969,827.74/53,701.84
  6. Step 6: Final answer
    x = 52,139.18

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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.