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Finding the Fourth Proportional to 30,762.69, 46,152.31 and 9,703.55

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Solution

The fourth proportional to 30,762.69, 46,152.31 and 9,703.55 is: 14,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.69 : 46,152.31 = 9,703.55 : x
  2. Step 2: Convert to fraction form
    30,762.69/46,152.31 = 9,703.55/x
  3. Step 3: Cross multiply
    30,762.69x = 46,152.31 × 9,703.55
  4. Step 4: Simplify right side
    30,762.69x = 447,841,070.12
  5. Step 5: Solve for x
    x = 447,841,070.12/30,762.69
  6. Step 6: Final answer
    x = 14,557.93

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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.