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Finding the Fourth Proportional to 55,934.66, 77,189.83 and 30,784.16

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Solution

The fourth proportional to 55,934.66, 77,189.83 and 30,784.16 is: 42,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,934.66 : 77,189.83 = 30,784.16 : x
  2. Step 2: Convert to fraction form
    55,934.66/77,189.83 = 30,784.16/x
  3. Step 3: Cross multiply
    55,934.66x = 77,189.83 × 30,784.16
  4. Step 4: Simplify right side
    55,934.66x = 2,376,224,193.11
  5. Step 5: Solve for x
    x = 2,376,224,193.11/55,934.66
  6. Step 6: Final answer
    x = 42,482.14

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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.