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Finding the Fourth Proportional to 56,547, 78,382.71 and 55,605.78

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Solution

The fourth proportional to 56,547, 78,382.71 and 55,605.78 is: 77,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,547 : 78,382.71 = 55,605.78 : x
  2. Step 2: Convert to fraction form
    56,547/78,382.71 = 55,605.78/x
  3. Step 3: Cross multiply
    56,547x = 78,382.71 × 55,605.78
  4. Step 4: Simplify right side
    56,547x = 4,358,531,728.06
  5. Step 5: Solve for x
    x = 4,358,531,728.06/56,547
  6. Step 6: Final answer
    x = 77,078.04

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.