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Finding the Fourth Proportional to 42,768, 59,049 and 26,030.16

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Solution

The fourth proportional to 42,768, 59,049 and 26,030.16 is: 35,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,768 : 59,049 = 26,030.16 : x
  2. Step 2: Convert to fraction form
    42,768/59,049 = 26,030.16/x
  3. Step 3: Cross multiply
    42,768x = 59,049 × 26,030.16
  4. Step 4: Simplify right side
    42,768x = 1,537,054,917.84
  5. Step 5: Solve for x
    x = 1,537,054,917.84/42,768
  6. Step 6: Final answer
    x = 35,939.37

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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.