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Finding the Fourth Proportional to 52,349.68, 78,535.86 and 16,802.74

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Solution

The fourth proportional to 52,349.68, 78,535.86 and 16,802.74 is: 25,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,349.68 : 78,535.86 = 16,802.74 : x
  2. Step 2: Convert to fraction form
    52,349.68/78,535.86 = 16,802.74/x
  3. Step 3: Cross multiply
    52,349.68x = 78,535.86 × 16,802.74
  4. Step 4: Simplify right side
    52,349.68x = 1,319,617,636.26
  5. Step 5: Solve for x
    x = 1,319,617,636.26/52,349.68
  6. Step 6: Final answer
    x = 25,207.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.