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Finding the Fourth Proportional to 98,677.10, 148,017 and 32,117.51

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Solution

The fourth proportional to 98,677.10, 148,017 and 32,117.51 is: 48,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,677.10 : 148,017 = 32,117.51 : x
  2. Step 2: Convert to fraction form
    98,677.10/148,017 = 32,117.51/x
  3. Step 3: Cross multiply
    98,677.10x = 148,017 × 32,117.51
  4. Step 4: Simplify right side
    98,677.10x = 4,753,937,477.67
  5. Step 5: Solve for x
    x = 4,753,937,477.67/98,677.10
  6. Step 6: Final answer
    x = 48,176.70

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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.