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Finding the Fourth Proportional to 114,547.30, 171,837.15 and 35,653.30

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Solution

The fourth proportional to 114,547.30, 171,837.15 and 35,653.30 is: 53,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,547.30 : 171,837.15 = 35,653.30 : x
  2. Step 2: Convert to fraction form
    114,547.30/171,837.15 = 35,653.30/x
  3. Step 3: Cross multiply
    114,547.30x = 171,837.15 × 35,653.30
  4. Step 4: Simplify right side
    114,547.30x = 6,126,561,460.10
  5. Step 5: Solve for x
    x = 6,126,561,460.10/114,547.30
  6. Step 6: Final answer
    x = 53,484.99

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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.