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Finding the Fourth Proportional to 56,612.88, 78,130.68 and 31,464

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Solution

The fourth proportional to 56,612.88, 78,130.68 and 31,464 is: 43,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,612.88 : 78,130.68 = 31,464 : x
  2. Step 2: Convert to fraction form
    56,612.88/78,130.68 = 31,464/x
  3. Step 3: Cross multiply
    56,612.88x = 78,130.68 × 31,464
  4. Step 4: Simplify right side
    56,612.88x = 2,458,303,715.52
  5. Step 5: Solve for x
    x = 2,458,303,715.52/56,612.88
  6. Step 6: Final answer
    x = 43,423.05

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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.