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Finding the Fourth Proportional to 105,641.70, 158,429.08 and 34,547.91

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Solution

The fourth proportional to 105,641.70, 158,429.08 and 34,547.91 is: 51,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,641.70 : 158,429.08 = 34,547.91 : x
  2. Step 2: Convert to fraction form
    105,641.70/158,429.08 = 34,547.91/x
  3. Step 3: Cross multiply
    105,641.70x = 158,429.08 × 34,547.91
  4. Step 4: Simplify right side
    105,641.70x = 5,473,393,597.22
  5. Step 5: Solve for x
    x = 5,473,393,597.22/105,641.70
  6. Step 6: Final answer
    x = 51,810.92

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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.