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Finding the Fourth Proportional to 74,310, 102,547.80 and 40,778.16

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Solution

The fourth proportional to 74,310, 102,547.80 and 40,778.16 is: 56,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,310 : 102,547.80 = 40,778.16 : x
  2. Step 2: Convert to fraction form
    74,310/102,547.80 = 40,778.16/x
  3. Step 3: Cross multiply
    74,310x = 102,547.80 × 40,778.16
  4. Step 4: Simplify right side
    74,310x = 4,181,710,596.05
  5. Step 5: Solve for x
    x = 4,181,710,596.05/74,310
  6. Step 6: Final answer
    x = 56,273.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.