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Finding the Fourth Proportional to 55,832.80, 77,048.39 and 30,681.76

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Solution

The fourth proportional to 55,832.80, 77,048.39 and 30,681.76 is: 42,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,832.80 : 77,048.39 = 30,681.76 : x
  2. Step 2: Convert to fraction form
    55,832.80/77,048.39 = 30,681.76/x
  3. Step 3: Cross multiply
    55,832.80x = 77,048.39 × 30,681.76
  4. Step 4: Simplify right side
    55,832.80x = 2,363,980,210.37
  5. Step 5: Solve for x
    x = 2,363,980,210.37/55,832.80
  6. Step 6: Final answer
    x = 42,340.35

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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.