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Finding the Fourth Proportional to 47,875.30, 71,823.59 and 14,597.93

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Solution

The fourth proportional to 47,875.30, 71,823.59 and 14,597.93 is: 21,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,875.30 : 71,823.59 = 14,597.93 : x
  2. Step 2: Convert to fraction form
    47,875.30/71,823.59 = 14,597.93/x
  3. Step 3: Cross multiply
    47,875.30x = 71,823.59 × 14,597.93
  4. Step 4: Simplify right side
    47,875.30x = 1,048,475,666.18
  5. Step 5: Solve for x
    x = 1,048,475,666.18/47,875.30
  6. Step 6: Final answer
    x = 21,900.14

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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.