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Finding the Fourth Proportional to 56,678.04, 78,215.76 and 31,527

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Solution

The fourth proportional to 56,678.04, 78,215.76 and 31,527 is: 43,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,678.04 : 78,215.76 = 31,527 : x
  2. Step 2: Convert to fraction form
    56,678.04/78,215.76 = 31,527/x
  3. Step 3: Cross multiply
    56,678.04x = 78,215.76 × 31,527
  4. Step 4: Simplify right side
    56,678.04x = 2,465,908,265.52
  5. Step 5: Solve for x
    x = 2,465,908,265.52/56,678.04
  6. Step 6: Final answer
    x = 43,507.30

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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.