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Finding the Fourth Proportional to 77,698.71, 116,547.93 and 25,108.11

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Solution

The fourth proportional to 77,698.71, 116,547.93 and 25,108.11 is: 37,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,698.71 : 116,547.93 = 25,108.11 : x
  2. Step 2: Convert to fraction form
    77,698.71/116,547.93 = 25,108.11/x
  3. Step 3: Cross multiply
    77,698.71x = 116,547.93 × 25,108.11
  4. Step 4: Simplify right side
    77,698.71x = 2,926,298,246.71
  5. Step 5: Solve for x
    x = 2,926,298,246.71/77,698.71
  6. Step 6: Final answer
    x = 37,662.12

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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.