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Finding the Fourth Proportional to 56,432.61, 77,876.57 and 30,938.67

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Solution

The fourth proportional to 56,432.61, 77,876.57 and 30,938.67 is: 42,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,432.61 : 77,876.57 = 30,938.67 : x
  2. Step 2: Convert to fraction form
    56,432.61/77,876.57 = 30,938.67/x
  3. Step 3: Cross multiply
    56,432.61x = 77,876.57 × 30,938.67
  4. Step 4: Simplify right side
    56,432.61x = 2,409,397,577.31
  5. Step 5: Solve for x
    x = 2,409,397,577.31/56,432.61
  6. Step 6: Final answer
    x = 42,695.13

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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.