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Finding the Fourth Proportional to 56,528.48, 78,005.40 and 31,376

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Solution

The fourth proportional to 56,528.48, 78,005.40 and 31,376 is: 43,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,528.48 : 78,005.40 = 31,376 : x
  2. Step 2: Convert to fraction form
    56,528.48/78,005.40 = 31,376/x
  3. Step 3: Cross multiply
    56,528.48x = 78,005.40 × 31,376
  4. Step 4: Simplify right side
    56,528.48x = 2,447,497,430.40
  5. Step 5: Solve for x
    x = 2,447,497,430.40/56,528.48
  6. Step 6: Final answer
    x = 43,296.71

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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.