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Finding the Fourth Proportional to 52,503.68, 78,741.41 and 19,223.93

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Solution

The fourth proportional to 52,503.68, 78,741.41 and 19,223.93 is: 28,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.68 : 78,741.41 = 19,223.93 : x
  2. Step 2: Convert to fraction form
    52,503.68/78,741.41 = 19,223.93/x
  3. Step 3: Cross multiply
    52,503.68x = 78,741.41 × 19,223.93
  4. Step 4: Simplify right side
    52,503.68x = 1,513,718,864.11
  5. Step 5: Solve for x
    x = 1,513,718,864.11/52,503.68
  6. Step 6: Final answer
    x = 28,830.72

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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.