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Finding the Fourth Proportional to 56,710.50, 78,263.94 and 31,560

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Solution

The fourth proportional to 56,710.50, 78,263.94 and 31,560 is: 43,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,710.50 : 78,263.94 = 31,560 : x
  2. Step 2: Convert to fraction form
    56,710.50/78,263.94 = 31,560/x
  3. Step 3: Cross multiply
    56,710.50x = 78,263.94 × 31,560
  4. Step 4: Simplify right side
    56,710.50x = 2,470,009,946.40
  5. Step 5: Solve for x
    x = 2,470,009,946.40/56,710.50
  6. Step 6: Final answer
    x = 43,554.72

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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.