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Finding the Fourth Proportional to 32,210.16, 48,307.95 and 14,685

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Solution

The fourth proportional to 32,210.16, 48,307.95 and 14,685 is: 22,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210.16 : 48,307.95 = 14,685 : x
  2. Step 2: Convert to fraction form
    32,210.16/48,307.95 = 14,685/x
  3. Step 3: Cross multiply
    32,210.16x = 48,307.95 × 14,685
  4. Step 4: Simplify right side
    32,210.16x = 709,402,245.75
  5. Step 5: Solve for x
    x = 709,402,245.75/32,210.16
  6. Step 6: Final answer
    x = 22,024.18

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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.