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Finding the Fourth Proportional to 56,582.04, 78,085.98 and 31,431

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Solution

The fourth proportional to 56,582.04, 78,085.98 and 31,431 is: 43,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,582.04 : 78,085.98 = 31,431 : x
  2. Step 2: Convert to fraction form
    56,582.04/78,085.98 = 31,431/x
  3. Step 3: Cross multiply
    56,582.04x = 78,085.98 × 31,431
  4. Step 4: Simplify right side
    56,582.04x = 2,454,320,437.38
  5. Step 5: Solve for x
    x = 2,454,320,437.38/56,582.04
  6. Step 6: Final answer
    x = 43,376.32

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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.