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Finding the Fourth Proportional to 52,316, 78,494.96 and 19,038.36

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Solution

The fourth proportional to 52,316, 78,494.96 and 19,038.36 is: 28,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,316 : 78,494.96 = 19,038.36 : x
  2. Step 2: Convert to fraction form
    52,316/78,494.96 = 19,038.36/x
  3. Step 3: Cross multiply
    52,316x = 78,494.96 × 19,038.36
  4. Step 4: Simplify right side
    52,316x = 1,494,415,306.67
  5. Step 5: Solve for x
    x = 1,494,415,306.67/52,316
  6. Step 6: Final answer
    x = 28,565.17

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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.