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Finding the Fourth Proportional to 30,875.40, 46,312.70 and 7,501.77

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Solution

The fourth proportional to 30,875.40, 46,312.70 and 7,501.77 is: 11,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.40 : 46,312.70 = 7,501.77 : x
  2. Step 2: Convert to fraction form
    30,875.40/46,312.70 = 7,501.77/x
  3. Step 3: Cross multiply
    30,875.40x = 46,312.70 × 7,501.77
  4. Step 4: Simplify right side
    30,875.40x = 347,427,185.97
  5. Step 5: Solve for x
    x = 347,427,185.97/30,875.40
  6. Step 6: Final answer
    x = 11,252.56

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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.