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Finding the Fourth Proportional to 56,838.32, 78,437.40 and 34,178

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Solution

The fourth proportional to 56,838.32, 78,437.40 and 34,178 is: 47,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,838.32 : 78,437.40 = 34,178 : x
  2. Step 2: Convert to fraction form
    56,838.32/78,437.40 = 34,178/x
  3. Step 3: Cross multiply
    56,838.32x = 78,437.40 × 34,178
  4. Step 4: Simplify right side
    56,838.32x = 2,680,833,457.20
  5. Step 5: Solve for x
    x = 2,680,833,457.20/56,838.32
  6. Step 6: Final answer
    x = 47,165.95

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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.