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Finding the Fourth Proportional to 99,547.76, 149,269.80 and 29,417.60

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Solution

The fourth proportional to 99,547.76, 149,269.80 and 29,417.60 is: 44,111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,547.76 : 149,269.80 = 29,417.60 : x
  2. Step 2: Convert to fraction form
    99,547.76/149,269.80 = 29,417.60/x
  3. Step 3: Cross multiply
    99,547.76x = 149,269.80 × 29,417.60
  4. Step 4: Simplify right side
    99,547.76x = 4,391,159,268.48
  5. Step 5: Solve for x
    x = 4,391,159,268.48/99,547.76
  6. Step 6: Final answer
    x = 44,111.08

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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.