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Finding the Fourth Proportional to 56,030.64, 77,320.31 and 30,536.49

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Solution

The fourth proportional to 56,030.64, 77,320.31 and 30,536.49 is: 42,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,030.64 : 77,320.31 = 30,536.49 : x
  2. Step 2: Convert to fraction form
    56,030.64/77,320.31 = 30,536.49/x
  3. Step 3: Cross multiply
    56,030.64x = 77,320.31 × 30,536.49
  4. Step 4: Simplify right side
    56,030.64x = 2,361,091,010.38
  5. Step 5: Solve for x
    x = 2,361,091,010.38/56,030.64
  6. Step 6: Final answer
    x = 42,139.29

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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.