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Finding the Fourth Proportional to 61,547.52, 92,345.58 and 31,983.96

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Solution

The fourth proportional to 61,547.52, 92,345.58 and 31,983.96 is: 47,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,547.52 : 92,345.58 = 31,983.96 : x
  2. Step 2: Convert to fraction form
    61,547.52/92,345.58 = 31,983.96/x
  3. Step 3: Cross multiply
    61,547.52x = 92,345.58 × 31,983.96
  4. Step 4: Simplify right side
    61,547.52x = 2,953,577,336.90
  5. Step 5: Solve for x
    x = 2,953,577,336.90/61,547.52
  6. Step 6: Final answer
    x = 47,988.57

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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.