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Finding the Fourth Proportional to 117,653.16, 176,482.26 and 34,547.16

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Solution

The fourth proportional to 117,653.16, 176,482.26 and 34,547.16 is: 51,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,653.16 : 176,482.26 = 34,547.16 : x
  2. Step 2: Convert to fraction form
    117,653.16/176,482.26 = 34,547.16/x
  3. Step 3: Cross multiply
    117,653.16x = 176,482.26 × 34,547.16
  4. Step 4: Simplify right side
    117,653.16x = 6,096,960,873.38
  5. Step 5: Solve for x
    x = 6,096,960,873.38/117,653.16
  6. Step 6: Final answer
    x = 51,821.48

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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.