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Finding the Fourth Proportional to 56,130.50, 77,460.18 and 30,980

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Solution

The fourth proportional to 56,130.50, 77,460.18 and 30,980 is: 42,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,130.50 : 77,460.18 = 30,980 : x
  2. Step 2: Convert to fraction form
    56,130.50/77,460.18 = 30,980/x
  3. Step 3: Cross multiply
    56,130.50x = 77,460.18 × 30,980
  4. Step 4: Simplify right side
    56,130.50x = 2,399,716,376.40
  5. Step 5: Solve for x
    x = 2,399,716,376.40/56,130.50
  6. Step 6: Final answer
    x = 42,752.45

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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.