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Finding the Fourth Proportional to 56,358.40, 77,763.20 and 31,203.20

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Solution

The fourth proportional to 56,358.40, 77,763.20 and 31,203.20 is: 43,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,358.40 : 77,763.20 = 31,203.20 : x
  2. Step 2: Convert to fraction form
    56,358.40/77,763.20 = 31,203.20/x
  3. Step 3: Cross multiply
    56,358.40x = 77,763.20 × 31,203.20
  4. Step 4: Simplify right side
    56,358.40x = 2,426,460,682.24
  5. Step 5: Solve for x
    x = 2,426,460,682.24/56,358.40
  6. Step 6: Final answer
    x = 43,054.11

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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.