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Finding the Fourth Proportional to 32,075.16, 48,117.27 and 9,890.34

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Solution

The fourth proportional to 32,075.16, 48,117.27 and 9,890.34 is: 14,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,075.16 : 48,117.27 = 9,890.34 : x
  2. Step 2: Convert to fraction form
    32,075.16/48,117.27 = 9,890.34/x
  3. Step 3: Cross multiply
    32,075.16x = 48,117.27 × 9,890.34
  4. Step 4: Simplify right side
    32,075.16x = 475,896,160.17
  5. Step 5: Solve for x
    x = 475,896,160.17/32,075.16
  6. Step 6: Final answer
    x = 14,836.91

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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.