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Finding the Fourth Proportional to 42,535, 63,803.04 and 14,833

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Solution

The fourth proportional to 42,535, 63,803.04 and 14,833 is: 22,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,535 : 63,803.04 = 14,833 : x
  2. Step 2: Convert to fraction form
    42,535/63,803.04 = 14,833/x
  3. Step 3: Cross multiply
    42,535x = 63,803.04 × 14,833
  4. Step 4: Simplify right side
    42,535x = 946,390,492.32
  5. Step 5: Solve for x
    x = 946,390,492.32/42,535
  6. Step 6: Final answer
    x = 22,249.69

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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.