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Finding the Fourth Proportional to 56,580.12, 78,077.52 and 31,428

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Solution

The fourth proportional to 56,580.12, 78,077.52 and 31,428 is: 43,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,580.12 : 78,077.52 = 31,428 : x
  2. Step 2: Convert to fraction form
    56,580.12/78,077.52 = 31,428/x
  3. Step 3: Cross multiply
    56,580.12x = 78,077.52 × 31,428
  4. Step 4: Simplify right side
    56,580.12x = 2,453,820,298.56
  5. Step 5: Solve for x
    x = 2,453,820,298.56/56,580.12
  6. Step 6: Final answer
    x = 43,368.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.