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Finding the Fourth Proportional to 98,494.68, 147,788.16 and 48,547.56

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Solution

The fourth proportional to 98,494.68, 147,788.16 and 48,547.56 is: 72,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,494.68 : 147,788.16 = 48,547.56 : x
  2. Step 2: Convert to fraction form
    98,494.68/147,788.16 = 48,547.56/x
  3. Step 3: Cross multiply
    98,494.68x = 147,788.16 × 48,547.56
  4. Step 4: Simplify right side
    98,494.68x = 7,174,754,564.89
  5. Step 5: Solve for x
    x = 7,174,754,564.89/98,494.68
  6. Step 6: Final answer
    x = 72,844.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.