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Finding the Fourth Proportional to 56,472.90, 77,931.42 and 31,322.40

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Solution

The fourth proportional to 56,472.90, 77,931.42 and 31,322.40 is: 43,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,472.90 : 77,931.42 = 31,322.40 : x
  2. Step 2: Convert to fraction form
    56,472.90/77,931.42 = 31,322.40/x
  3. Step 3: Cross multiply
    56,472.90x = 77,931.42 × 31,322.40
  4. Step 4: Simplify right side
    56,472.90x = 2,440,999,109.81
  5. Step 5: Solve for x
    x = 2,440,999,109.81/56,472.90
  6. Step 6: Final answer
    x = 43,224.26

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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.