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Finding the Fourth Proportional to 31,070.39, 46,566.70 and 15,492.47

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Solution

The fourth proportional to 31,070.39, 46,566.70 and 15,492.47 is: 23,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.39 : 46,566.70 = 15,492.47 : x
  2. Step 2: Convert to fraction form
    31,070.39/46,566.70 = 15,492.47/x
  3. Step 3: Cross multiply
    31,070.39x = 46,566.70 × 15,492.47
  4. Step 4: Simplify right side
    31,070.39x = 721,432,931.18
  5. Step 5: Solve for x
    x = 721,432,931.18/31,070.39
  6. Step 6: Final answer
    x = 23,219.31

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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.