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Finding the Fourth Proportional to 78,356.16, 108,133.38 and 42,547.68

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Solution

The fourth proportional to 78,356.16, 108,133.38 and 42,547.68 is: 58,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,356.16 : 108,133.38 = 42,547.68 : x
  2. Step 2: Convert to fraction form
    78,356.16/108,133.38 = 42,547.68/x
  3. Step 3: Cross multiply
    78,356.16x = 108,133.38 × 42,547.68
  4. Step 4: Simplify right side
    78,356.16x = 4,600,824,449.56
  5. Step 5: Solve for x
    x = 4,600,824,449.56/78,356.16
  6. Step 6: Final answer
    x = 58,716.82

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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.