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Finding the Fourth Proportional to 31,703.01, 47,547.63 and 9,510.44

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Solution

The fourth proportional to 31,703.01, 47,547.63 and 9,510.44 is: 14,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703.01 : 47,547.63 = 9,510.44 : x
  2. Step 2: Convert to fraction form
    31,703.01/47,547.63 = 9,510.44/x
  3. Step 3: Cross multiply
    31,703.01x = 47,547.63 × 9,510.44
  4. Step 4: Simplify right side
    31,703.01x = 452,198,644.52
  5. Step 5: Solve for x
    x = 452,198,644.52/31,703.01
  6. Step 6: Final answer
    x = 14,263.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.