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Finding the Fourth Proportional to 82,980.16, 114,513.06 and 45,254.68

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Solution

The fourth proportional to 82,980.16, 114,513.06 and 45,254.68 is: 62,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,980.16 : 114,513.06 = 45,254.68 : x
  2. Step 2: Convert to fraction form
    82,980.16/114,513.06 = 45,254.68/x
  3. Step 3: Cross multiply
    82,980.16x = 114,513.06 × 45,254.68
  4. Step 4: Simplify right side
    82,980.16x = 5,182,251,886.12
  5. Step 5: Solve for x
    x = 5,182,251,886.12/82,980.16
  6. Step 6: Final answer
    x = 62,451.70

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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.