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Finding the Fourth Proportional to 52,547.94, 78,830.82 and 22,965.12

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Solution

The fourth proportional to 52,547.94, 78,830.82 and 22,965.12 is: 34,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,547.94 : 78,830.82 = 22,965.12 : x
  2. Step 2: Convert to fraction form
    52,547.94/78,830.82 = 22,965.12/x
  3. Step 3: Cross multiply
    52,547.94x = 78,830.82 × 22,965.12
  4. Step 4: Simplify right side
    52,547.94x = 1,810,359,241.00
  5. Step 5: Solve for x
    x = 1,810,359,241.00/52,547.94
  6. Step 6: Final answer
    x = 34,451.57

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1.5x scale

Why These Related Problems?

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