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Finding the Fourth Proportional to 32,498.96, 48,748.68 and 10,312.40

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Solution

The fourth proportional to 32,498.96, 48,748.68 and 10,312.40 is: 15,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,498.96 : 48,748.68 = 10,312.40 : x
  2. Step 2: Convert to fraction form
    32,498.96/48,748.68 = 10,312.40/x
  3. Step 3: Cross multiply
    32,498.96x = 48,748.68 × 10,312.40
  4. Step 4: Simplify right side
    32,498.96x = 502,715,887.63
  5. Step 5: Solve for x
    x = 502,715,887.63/32,498.96
  6. Step 6: Final answer
    x = 15,468.68

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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.