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Finding the Fourth Proportional to 98,547.93, 135,980.51 and 56,107.29

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Solution

The fourth proportional to 98,547.93, 135,980.51 and 56,107.29 is: 77,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,547.93 : 135,980.51 = 56,107.29 : x
  2. Step 2: Convert to fraction form
    98,547.93/135,980.51 = 56,107.29/x
  3. Step 3: Cross multiply
    98,547.93x = 135,980.51 × 56,107.29
  4. Step 4: Simplify right side
    98,547.93x = 7,629,497,628.38
  5. Step 5: Solve for x
    x = 7,629,497,628.38/98,547.93
  6. Step 6: Final answer
    x = 77,419.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.