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Finding the Fourth Proportional to 56,524.61, 78,003.65 and 31,031.40

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Solution

The fourth proportional to 56,524.61, 78,003.65 and 31,031.40 is: 42,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,524.61 : 78,003.65 = 31,031.40 : x
  2. Step 2: Convert to fraction form
    56,524.61/78,003.65 = 31,031.40/x
  3. Step 3: Cross multiply
    56,524.61x = 78,003.65 × 31,031.40
  4. Step 4: Simplify right side
    56,524.61x = 2,420,562,616.51
  5. Step 5: Solve for x
    x = 2,420,562,616.51/56,524.61
  6. Step 6: Final answer
    x = 42,823.16

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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.