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Finding the Fourth Proportional to 73,585, 101,547.66 and 40,051

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Solution

The fourth proportional to 73,585, 101,547.66 and 40,051 is: 55,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,585 : 101,547.66 = 40,051 : x
  2. Step 2: Convert to fraction form
    73,585/101,547.66 = 40,051/x
  3. Step 3: Cross multiply
    73,585x = 101,547.66 × 40,051
  4. Step 4: Simplify right side
    73,585x = 4,067,085,330.66
  5. Step 5: Solve for x
    x = 4,067,085,330.66/73,585
  6. Step 6: Final answer
    x = 55,270.58

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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.